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{'Nk2': 24336, 'analytic_conductor': 89.74190511873148, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [13, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1521, 1, [677, 847], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 9, 'field_disc': 43106219499827449, 'field_disc_factorization': [[7, 6], [366396820201, 1]], 'field_poly': [-4096, 3584, 4784, -3203, -1501, 680, 145, -46, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [344, 1464, -5898, -1257, 2310, 486, -205, -42, 5, 1]], [5, [3059376152, -79067576, -128609278, 1389429, 1945112, 11193, -12686, -266, 30, 1]], [7, [27715644424, -12058090668, 1223096892, 80750883, -15288900, 47784, 49156, -1023, -38, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966257, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 169, 'hecke_ring_index_factorization': [[13, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1521.4.a.bg', 'level': 1521, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '169.4.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(5+\\beta _{5}+\\beta _{6}+\\beta _{8})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1521.4.a', 'trace_display': [-5, 0, -30, 38], 'trace_hash': 85116692074716638, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.958', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '193.697', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7793.131', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [9, -5, 0, 37, -30, 0, 38, -60, 0, -147, -181, 0, 0, 147, 0, 269, 55, 0, 161, -370, 0, 340, 204, 0, 307, 0, 0, 344, -280, 0, 706, -680, 0, 216, -20, 0, 298, 739, 0, 13, -1201, 0, -533, -355, 0, -840, -956, 0, 403, 1156, 0, 0, 278, 0, -250, -250, 0, -2877, -1377, 0, -136, -2035, 0, 284, 0, 0, -931, 1536, 0, -4854, -2046, 0, -45, 1990, 0, -3608, 718, 0, 412, 787, 0, 2757, -3709, 0, -2106, -125, 0, -636, -1663, 0, 0, -4010, 0, -2531, 1614, 0, -1087, 282, 0, 300, -1660, 0, 3594, 0, 0, -1888, -1975, 0, 2396, 289, 0, -4041, 1815, 0, 1846, 4786, 0, -2745, 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_denominators': [1, 1, 8071424, 4035712, 504464, 8071424, 8071424, 8071424, 4035712], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [12, 2, 0, 0, 0, 1, 1, 0, 1], [12, 23, -1, 4, 0, 2, 3, 0, 3], [260, 77, -8, 8, -5, 27, 37, 0, 32], [604, 636, -45, 138, -18, 75, 166, -10, 128], [6752, 2746, -339, 490, -299, 748, 1315, -46, 1004], [23360, 19224, -1762, 4588, -1299, 2684, 6896, -644, 4677], [192772, 95033, -12178, 21190, -12940, 21858, 46550, -3242, 32278]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [-149293824, 52058000, 91159455, -12738943, -11530440, 728955, 501446, -12396, -6901], [-6050816, -22791952, 16793257, 4265751, -3297016, -384275, 195178, 11372, -3843], [-646464, -1604391, 252488, 485407, -171803, -72705, 19422, 2737, -595], [-92826880, -97179408, 67400873, 38793527, -14845688, -3803155, 1059978, 103372, -23843], [-122506496, 12391680, 111900273, 12527327, -23878504, -2570427, 1548474, 90940, -32107], [-202361088, 51740944, 217315329, 3078399, -46218904, -2210427, 2837370, 88524, -53515], [59238144, 34322440, -85614861, -25660427, 19362096, 3186791, -1304226, -97156, 27975]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 9, 'label': '1521.4.a.bg', 'level': 1521, 'maxp': 2999, 'weight': 4}
-
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{'AL_dims': [[[[3, -1], [13, -1]], 57, 12], [[[3, -1], [13, 1]], 54, 18], [[[3, 1], [13, -1]], 36, 4], [[[3, 1], [13, 1]], 41, 6]], 'ALdims': [41, 36, 54, 57], 'Nk2': 24336, 'analytic_conductor': 89.74190511873148, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1521, 1, [677, 847], [1, 1]], 'conrey_index': 1, 'cusp_dim': 518, 'dim': 188, 'eis_dim': 56, 'eis_new_dim': 11, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 67110385, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 10, 12, 18, 18], 'label': '1521.4.a', 'level': 1521, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 574, 'mf_new_dim': 199, 'num_forms': 40, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 188, 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mf_twists_nf • Show schema
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id: 751859
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '169.4.a.k', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 751860
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '169.4.a.l', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 751861
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '169.4.b.g', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 751862
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '169.4.c.k', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 751863
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '169.4.c.l', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 751864
{'conductor': 39, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 5, 'target_dim': 36, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '169.4.e.h', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 751865
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '1521.4.a.bg', 'target_level': 1521, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 751866
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1521.4.a.bg', 'source_level': 1521, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1521.4.a.bh', 'target_level': 1521, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2010950
{'charpoly_factorization': [[[344, 1464, -5898, -1257, 2310, 486, -205, -42, 5, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 2}
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id: 2010951
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 144115188142966257, 'p': 3}
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id: 2010952
{'charpoly_factorization': [[[3059376152, -79067576, -128609278, 1389429, 1945112, 11193, -12686, -266, 30, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 5}
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id: 2010953
{'charpoly_factorization': [[[27715644424, -12058090668, 1223096892, 80750883, -15288900, 47784, 49156, -1023, -38, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 7}
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id: 2010954
{'charpoly_factorization': [[[276199564381, -179311762994, 26882546428, 738228615, -167003035, -5844107, 165265, 10834, 181, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 11}
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id: 2010955
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 144115188142966257, 'p': 13}
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id: 2010956
{'charpoly_factorization': [[[-5572934105557, -13634726454440, 8401319709328, -224267154861, -6767325927, 147895979, 1146115, -23436, -55, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 17}
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id: 2010957
{'charpoly_factorization': [[[-865058822963419, 17958379163746, 7470263773658, -8601436031, -7019204857, 20615523, 2116695, -11292, -161, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 19}
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id: 2010958
{'charpoly_factorization': [[[-68005016808744392, 1677405262433836, 96771175504120, -1742693252577, -41479717140, 357001151, 5407664, -29131, -204, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 23}
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id: 2010959
{'charpoly_factorization': [[[-56071014835079896, 5762250822516012, -56291593140298, -6977746485675, 132290324688, 976035630, -12568120, -48535, 280, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 29}
-
id: 2010960
{'charpoly_factorization': [[[3096277304854445656, -65749435529097852, -1985161101259952, 25565731686363, 228326104668, -3609315492, 1130104, 148229, -706, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 31}
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id: 2010961
{'charpoly_factorization': [[[310010188688331481048, -8896933236559731448, 45875333850181822, 594222222755749, -6293535923688, 7976918585, 87939738, -232098, -298, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 37}
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id: 2010962
{'charpoly_factorization': [[[61873581397572169253, 1619792110119036588, -1616425926085138, -421646173565359, -4652224924458, -14140274357, 56821158, 494135, 1201, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 41}
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id: 2010963
{'charpoly_factorization': [[[-358611227789785242077, -4678442324800455822, 70886710557000845, 1406432909501023, 5706993788145, -14526437912, -136823024, -153079, 533, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 43}
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id: 2010964
{'charpoly_factorization': [[[11464353104027851384, 1329362167362062820, 32303753105700258, -49762716955757, -6545051933164, -53107853183, -127738074, 136612, 956, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 47}
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id: 2010965
{'charpoly_factorization': [[[12887711309696770761976, 243361477165440699924, 412869644476868336, -9184309039838179, -15501811028404, 112216880490, 123482118, -566375, -278, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 53}
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id: 2010966
{'charpoly_factorization': [[[2746213265061220833823, 100208211362160601224, 1114668162573142982, 2587489249146439, -30104186322184, -204479067637, -372100382, 252933, 1377, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 59}
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id: 2010967
{'charpoly_factorization': [[[-27558370514700766164032, -1159015528584307213008, -13633889619625467612, -42822229764922651, 89968446968294, 403231012325, -187548706, -1131006, 136, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 61}
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id: 2010968
{'charpoly_factorization': [[[-327088254089774968977899, 5209654609677087947526, -10821001517180519169, -92063039319250813, 233825752125911, 495065391476, -890936272, -1141335, 931, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 67}
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id: 2010969
{'charpoly_factorization': [[[44585868903812379154472, 1908994007875268702812, -49455590099883069580, 78182065417258095, 405356603728390, -434754292148, -1448605362, 308287, 2046, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 71}
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id: 2010970
{'charpoly_factorization': [[[31756735332805356897821, -1506749960890966228850, -17310298486778544639, -32424645086193109, 181643944920255, 609692221608, -173876306, -1609687, 45, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 73}
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id: 2010971
{'charpoly_factorization': [[[63070984393479735482088, 790713753135306035544, 556477632229543614, -21981799979683177, -36065298040498, 234613432336, 282452944, -1032469, -412, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 79}
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id: 2010972
{'charpoly_factorization': [[[1437247282823344835745161, -26103371299230964271946, -472768027691952881203, -2443290848701223317, -5791016389917361, -6314534308340, -1123208654, 4107377, 3709, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 83}
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id: 2010973
{'charpoly_factorization': [[[4377440958014105162148023, 55602672954565271407894, 273947508877209274079, 599122717986710443, 259318680361049, -1289685028236, -2134074534, -271263, 1663, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 89}
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id: 2010974
{'charpoly_factorization': [[[-20949386930698993053567889, 111994816214865389693426, 145299675714475502787, -1296433223643319245, 484271211396037, 3490144221316, -1955124078, -3079171, 1087, 1], 1]], 'hecke_orbit_code': 144115188142966257, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '1521.4.a.bg', 'level': 1521, 'portrait': 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pZmVVDzBZKYIEho1hLaPZ/j52FofIy1XLIppNNLOLOomWp4XLQpZtv6LvXaECEtYSho9aostHymagJPepw573PotODYuZgTSzFBtccbr+/yXTdCICc5cLzJiXnF2Yy5FyyHFi3XXb7Av/jACpsmJzl+dpozi1UWVjwWVyXLrZjVTkS7a2h1YpaGdX7gnRXzo9+z7s+mNtR/il7cFs3/9ZWGxF/r8Xca4O12m+XVhEogfuXIiQOvOXfs9+RqZ+k1l2+Z1zP1DZxZnGK5VWGl7bHc1iy3YbmVsNyKWG4lnF2Bw0uCublV/tUPL3HDxTVOzk9z5nydM4ua+SXLucWYUwsJ5zsxk9MDXntll1dfAr6sEqiA+eUKZxc155YFvSHEsaHiG+qVhKmJGAMcPxfT7sL29R716hBrBQifbt+wbcOQpVUN1kmR1S4MY7BYllshm9d5dPoKoSzCDGlWPLZtHLDaExw/o0mMZqYpaVQEgQdxLOgNJeeWJWeXLPMrMUEwAC/mpsu6vOZywVyzytJKk5PzAWcWYX4xZn455vQyHF6yXHfZIv/6h1fYMNnkxLlpzi1WWVj1U3AnrHQiVjsJra5lqePOYaNxlnfdouM+mx74pz/2A2bntj0PKC/5Z91uQKPReKWh8pKPv7NB5i/95idoNpssLCz+8ue/dM8//sTnHwsOnjHMTBl+438VTE92GIS+AxNgLFirsVaBzX5LghSWI0uT/Ks/Evzyj81zzc6QRnWaerVBsxbQqHlMNhXzS4pzK5qvPVjhC/fHXLy1xyUXxSyv9Ll065D3v8UQxQqB5a8eqnC+VaGaDDl2VtHtNrhqd8L5dsy+Ax57tkoOnoGb9kKrA6HRBDpktg4vnq5Sq0YEKmaiIVjtwI2Xdjh8KmDPdsPRM0OeP+x+n7d1wOF5y0RjyHI75PNfq2GFIkkSbr26x83XWM6telyza8CuTR5x1KTXr7LvSIVzi4KFlYTzKzHzy4YTy4L5bsjVe5b4lz/YZa45xfGzk8wvVVlY9VhqCVbaCa1ORLub0O5alrtwrivpDiJ2b454583zev1M9/Wt43/KM4u33XzR3lvM1FTjny8c/T3mdv7EKw2ZCz7+TjL4H3z803zPjbvVf/z8E/+S4co/P338hDpwos/xZc2pbsJVO87z7396gVddVGN+aYqlVm2EyVfasNJOWGnHLHdiFltwckWgqwNuvnyZ974+ZOe6OqvdJueXqyws+yy2BMstw1LLsNIxtPuG9tDSG8TMNCO2rTeAIPAsp857CBmwfZ1i5ybLpnU95leGPH2wwbUXW2rVFZ47NE2jHhKGHjNThv4ALt024E/unmTv1pjh0DI7IYmSPo1KwPPHBlS9OlfviXnmSMj8ks/mmYCdG2HbhhClIk4tgu9ZhLBsXx8z1ZB0+gHdnpfGIYrlVVhqGZZbCYuthHMtWBokbNvc5b23LnLzJZqK1+TsYpPFlQqLq5qltmC1ZVhNmXu1a1lKwX1uNeGGPfP82k8vsmdLjcWVSU6cm+DU+Uk2bZ5LLrm48ctPHnnnv9657oHkmld/3ysNnTWPv1MAP3HsAJVKpbq4cHrbV+5+9vuPHj/7b8+cPYMxktWuZaENZ7uKU+2Ya3fO8+s/vcRVF9U4vzzJ0mqNlY4D+UoK8lbHsNqJWenELLct8y3Bma4F0eVdt7R42w2GizZWCMMaK60Kq12fVkex0hV0eoLB0BLGliQBJS2BB9XAMtm0rJuO0N6Aw2dDnj0UYOI6b7kxRHurPL5vgh0b4YuPxNxyRcD5Vp+KVsRJxPQUxJGH9mKWlmq89po2X3ywwc6N8NjBIR413nyDIRZ9nj2ccPRUBS191k9ppuqCaiDwfYESEBsII8sghE7Psto1dHqG1Z5hqWvpJwnbt/R426tbvOs1IZgGS6sTnF+ustRKyaBFKkfiHNwrPTjbUZxvJ1x38Ty/9tMLXLqtysLyFEurdRZXKyy1PAZDw7r166k1NvyfsnrJn1+0c8uJwWDQv/KKS19pKOWPvzMAXz6/n6m5Wf/g/iM/euDA4d9+4OGnxMkzHYlwF7E7sLR6lpWeYL6rON2JuH73eT70E8tcsztgcXWSxdU6q+2A1Y7PSkez2hG0OpZWN2G1E9PqGla6lvMdwdmWYWqyx3dc1+GmS2K2r1c0qx7tToXAk4AijCXGCIyF3gAQhqnGgIOnLcaG3PVYnWGvyu7NPjdf2SMyq9z7xCRXX+xx8FyX1kqTV1/Z42uPB6yftuw7bvkH72yz71jA+mnJV59Q3HypYrnX5sjJaa7eE3Lvs33iYY2bLvPZtXVAP+7ylccVJILDpzTNmkYL6PUlxgoSY4liQBq0b2h1LfVGxNaNQ15zaY/vuDZmpl5hfnmCpdUqK213blbaglYXWp2YVjem1U1o9SzLPcm5jmCxk3Dj3vP8259Y4KqdFRZWplhp1/Lz2+lrwsj9/VYvMFt2XGm379j1Mxu37v5oa2UhvP7qS15pSAF/RwA+GIZyMOy//fEHv7hby/BD997/pNfpSwZDy2CYMAgN/YGhPTB0+rDaE5zvK06vJtx06Ty/8hOLXLvLY7U9wcJKg1a3wmrHZ7WraXUUrR50upZ2L6bdTej2Da2eZaErWOhClAy56uI+G6YTuj3LW189ZMcGQ5xItLSEEdzzdIUT5ytsnIp57nAFTI1Ltiiu2WsIKj0eP9hjYbHO5TvqNCdXePAZj+svrrDUW2VlpcmGDZZH9il+8A1dHt2n2bLOY7HbYmV5mmsu7fHgcwnT1Uku393lfKvFIy9MUtV1rttr2bNtALLL00cF66Yj5hci7n3aYxAppITEWHZsDPmOV4d0uopNU4ZrLoYwrLHcqrHcCljterR7ilZX0u5Cu5fQ7iZ0egntnmG1Z1nuS063Ba1+yM17Fvg3P77MtXsqzC9Ostqp0uoFtLse7Z6m21cMhpLeMP1dnYhLLr8umqj7/8d7vu8th6rV6ueFrJpXGluveJDZ6fTo9QY//PX7H/2N3vzB6XiwxFRTARIpLEIAAqx1gSTWgLUImSCF4rGD6/lnv+/xzpuXed8bltm5OeTcUpPAr1INfGqBR72q6VQljb7HRF3TGyR0+wnrh4b+0NIZBCwvVDh10hLGhtPnYoLAAgJfWbQU9PoKgUfc07xqh2DXJsu2zT2GSYcvParYf2iKN10bcM2lK3z8SxZf1NixucczDyo2Typmmz0qqkoYeZzvQL2i2bJe8NT+kGv2VHn91Yt87M4+vtfgjTdavKDH1x8J+eLDdV44WuWiTTV2bEyYmwrZORtxxY4EpQxaWcBSCwLmJgPCyKPT83nuoOfKE/qK7kDS7UN3YOn23Gfv9BO6fUu7b1ntw0JPMb9iqU20+Nm3LvA9N4VcubPO2YUmq50qnZ5Pu+fR6Wt6A0V/KOkNoD+wDIeW/tDy4EOPetu2zP7G6eOTy1t2vP4fDwfDjwWV4H9egPf7fQTix59+6rFfefTBu6e3TrcJAg8poRqQOiQu2SpKhxQWKS1aJARS8uzBWZ58scbBM+d552u6vOayAZONJsutGvV2hWbfp9vTdNKL3R9oekPtVojQEEaWKLLEiTvC2McakErgaUHFF0w2BFMN2DBr2LK+x+xUiy8/Dvc96SHNBG+61uNVl3S4/4WIcNDk5lcJWv0+55fq3LTHMDvZo6oDBrFioR2hjOBVezS1xpAnDlR43TUTvPqqDk8cUGAnuPYynx/7rmW+9lTIVx+ts+9EhW1zig3TVaYaNSYa7hx52qKku/n3HRUkiSCKBWEMw4h8FewPDYOhoTcw9IaGbh/aQ1joSs53YGgG3H71Mm9/TYsfeKMhjpqcW6rT7jpwd/qOtbt9RW/gwN0LLYOhYRAarAWB5dTpc9z5xW9MX3l18H+/5jWv0b1e7/drtdr/fAC3ZglE9GOH9z30KycO3rvuonVdPO3ALQDrOwYVQiCESp9jpAQpXRZRK4unDBVPsNCr8sm7t/D1J9vccsUqH7h9lSt2dpmZrLG0WqPTD+j1vRTYyh2hYBhJolgQx26pt6nFqKRFa6j4UKsaphsRm9f1iOly8HTEn91b4cjJOpNBlesv09x0ZZtHXmxx10NNbry4wraNPf7kboESAc1GxGp3iLGgBMw1e7Q7Piau8vZbzvPJL9bYNV/hbTf2CKMl7n12hiipcMNl63jb9W0u3tri60/0eOZkjaeP+myZlkw3BbVA4HvuJpQChLAYC8ZYoji9WSPLMHI38iCEfgidgWBlKFjugNADrt67yge+Y5XXXpYw26yy0q7TalecQ9P36PY13UEGbEl/CL2hA/cwTAjDhCi2JAak1Dz8dJfnDt217txS8iu33nqLPXqq9Qc7t7wynUT/3QH+ex/5U1447fEvfv3uH9m5af5DV256dnbDZETdr6SOhWMgKWQK6uJZSY2SCVKKdHk2eMria0tFC1YGiuXWFJ+6p87Dz3W5+apVPvDGVa7e1WImqRLHAb1BhW7foz/UhJEiiiVxIkmMwFiBwCKFJfANtUpM4If43pDTS0PufExy6JTP0VNTKBOwa6PPpTsV117SRgULPHu4webJGpdfBBvmVlhuN7lisyQ2li8/GjDsSSbrMW++YcDn7404ca7B3t0eZ1cHPH/EY+v6Ka7aucD9z3R48HnBMPS5ZOc0l2wNuGRLh8Nnlzl0Gh7dX+PgkTo1LQi0pB5YKh4FOVh3s8YJhDGEiaA7FLQHgnYEoYkxdsB1F7f5wHe0ueWKhI3TAf3BBEutCp1uQHfg00vlSHeg6A9cgqk/TFeFMHEAjxKGoSWMDFECSeJurhdPrnB0+a5162cOfujmSydi2/2jj3/1HsObvvNH/scF+KGnP8LuVwk+8afDH/j8vad+86nnnpq85keW2bJ+moUVS3/oMQwVw0iipEUpiVKgpEApgVYKpTJwJ3ha4HsG37MEnqXmJ0xWBJ2hx0p7ik/f1+Tupwesn+rx/be2uGTrgEG/y+U7LVs3KIaRR5IoEiOxGbilwdMJx+ctR88JVvuGz91f4/TiFDb0mKooNs1otm/QXLQZLt/VxshFPvz5OsvLE9x4iebyXS2+/rRAxB7rpiT1Wkwv8pFWgpUo7dMaCOaXBZfZGrde2+GBJ6psmvW58fJp/pfvWuSjX+zw6IE63YHH0mqDnZuq7N3Y44Y9Hb73dR3OLC/zufsDlnoBx896nD7t4ymBlBKBwFjHqJGxJLFhaibiyst6DIcRl2wd8u5bh6ybUEw3AqKowtmFCt2+T3/o0Rto+kOVa+3+UNAfCgZD3EowTBiGxh2RZRgZhpFzu4Yx9EPB2bZixc6zcOrF2RfElb95evXi6B3v3PeJ/+s/foJf+Ec/8D8ewO/4y0/ztg9+r9j/+B+8Z//Rw7/34qETtUatT60yoFnvEcYCrQ2e1uhQp2C2DuhSurJRJdDps6cFnmfwdYKvDRXPUo0stdAyUUmYqgp6oaQT1jl6qs6vfWIaTIyIY669ssfODSFxDMYarHVJHCkEUgm053PghM++QxXqFU3Dl8zWBHMzknXTmk1ziu0bE/ZuXyURS/zWHU2On5jkxj0el+xI6McdHno2YLLqMTNhmWyE1KpOChkjaQ0Uy13LUiuh1a3y2stXeWxfj/0nFJPNCjdcNslPvH2J//wZeOJQnW7fstrRzC832TBbY93UgO0zA/7Je3o0ay2eOQoHTko8z6KURQgDWPc/C3EMOzYk3HxFTBJ5RHGAtTUGoce5RQfq/lAzCFUu3/qhYJCCexDCMHSsnQM7NAwiSxjaFOQwiAT9CFqhZHEg2FKJmZxYodV/fPKbT+nfe+LglfG//N/f9Kmrd37avv2d/32SQv9dAP7Hf/E7HGqvqt/4mQ+/a3npzMdvuvjxyj/90QHPHhJM1CNqlT7DSCKlQSsfrQ1aK7RyQNfKorXFU9KxthYMPIXvSYaeJAgThpGlGhmGkSEMLc0YxywxhLFgEEmGSUCUVNh/qM7T+yGxFgdtp409Cb5yNR+NAC7fCM0qTNQlUw3FzKRm3TRs2zBk49wqkV3mt+6Y4PCRCa65SHHRFsmuLSt84/mY+aUJrt0pmWoaKn6fQAZYJYgTibCWOAlZ6VaYX/K45pIqr9rT4f4nKqyfEtQqDa7ZY/jZdy3xm58xPH+6wWrXsNpRLKxoZifrTDWrTDUnaNYi5uoR268JCbwYT8co5UoUACzupooixfkFTRQrolgRRophlD6HkmEkGYaSQSgZhsIBNhQMQ5sytSFMn4cZqEPH3IPY/dt+LOiEguVQ0g0jur2Ybz4NTxyErzxyovZDb61//I8+cYf5njf17vjqV/9z8h3f8Q++/QH+b37jk5w8XVet3vl3P3j62Meu2/5spdNPOLsoWOkozqwOmZ3sMlEHKQxaOm2tlcZTBq01nlZ4ocJTFi+S+FrgR4KhJxj6ijCSDENDFFnCOHGuSFw6EogTS5IYEoPT24Yc3EKAkqAleB4EWlAJBLVAUq8pJmqSqQnBuumY7Rt6NOqr3PFAyL3PTrO62OTKbYrtGz0u3jogEat8+dEadU8zN6Vo1AY8exjXcb/V0hsqrro44spdlnNnExZWfPqDGm+5vsM3n+lz8LSiXpUEfpMrLjL86x9Z4p7n+3z+nlmW2pbt6xJWWprJpmKi7tGoedSrlkpgCHxDoBO0snkgDqnFagTGCGIjiRNBHAuiWBLGgiiSDCPnvISRIIwsYQjDKCGMDGGJOIaxTTV3ytqxYBBBPxK0I8lqBN1BhEw6bJzqMt0w7JiLuPHSFodOPV75rtdu+qOFc7v+3lW7Nv/FsX1/mOy49Ie/vQG+Yx2yP1h53/4Xz/3XLz9yvvK7zBLGEYO+YNBNeP5wi3ff1uY9b+gwPZHQ7iVonaC1j6dNeih8T+N7ikEoCbyUcXyRXhCRBowQRtI5CHFh+8WJIUmcu5DY1ClJ3RIhBFI6na/T1SHwJZVAUq8KmjXLZMOwfnrI3FSH2K7yqW9KPvrFGdZVKly5TbBto8eOTYbtG1e44yHL8nKFSzYopprQqEXMH5OcXwnwd8IwEsxNSCYn4eBRy0rbcG6xwsU7Krzh2g533ldhpgGB76PkJFfsEvzk287jyfP81f1TvHC6wvp2xLrJmIm6olFV1KqSaqAJfAg80No6kAuQogRy3I2dGEgSQZyQAh2ixBLGEEXOEYmi1D6NDWFsCHON7YDtDsEgEnRjQTsWtEPLcBAxEbR471uWeM9tHd56Q0Kra+j0QgZhhf5gWFmYn/69k+dmtKX+pzie+fYE+Gc/dyfGJD9y+Mjz/255/nhz64TP6XaVQQJGG0Qz4cuPVXjo+SpnV5b4B+/qMt2MGAQ12t0YT/t42sPzPMLQ4HuKwHNBaBi5VHoYCcLYgTxKWSmOySP6OAO2cc/W5qWGCOEA7gJYgacdQCoB1CqGRjVmshEzN9lndmqVB/aH/NFdVQ4cnWTHhMeuDbBlg8+W9bB3W5te3OaRfU2qymNuSjHZgMnGkKmJGN/XCOFurv7QZ7kdsdqztLox51d8tm1o8OpLznPXoz0OnG5SCyI85SPEBLs2K37ojYtct/c8f3RXg0eem2Spq1nXjJmsxdQqkmpFEXiCwJN4notVlCK1Dx3KLa6H1RhyoMeJSVe31FqMDXFiCGNXAhDFNl8RndxLgR0L+pGgEwvaMfT7CSbuM1Pt8DPft8T//v4etYrH8mqdOPbBeMRRlZVWg+NnzzdlUPutjVsu8b9x9xc/etsb3vbtB3Br2iDkj9/5V3/1K8sL52aqgWKqboGEhidohZJ2rOgpTWvo8e/+3Gff4RXe/rout17dZv3sgE6nSn8YMAx9hp4miDSh7+y9DOBRJAljt+xGceppJ6TWHylzy7ScNgW3s9hT5gatXMLE9ywV31CtxDQqMVPNIRtn28y3evz25zy+/Ng0yyt1ds8Jtq0TbF7ns2WdYOemAdpf5ZP3ao6crLNnvWSqIZmoJ0g55PSCJdASKVzyKow029e1eZSEdk+x0rbML1fZs6XC997a4i++7nNsPsDTEUJ4GFsniiXX7lxh+/vbfPmJHn/y5WkeP1Zn85Rgtp5QryRUfEHgCXzPxSpa4QJnKfKaDIvNs8LGOmAbQw7yOHGSzvnoKcDTOCaMYRgL+gl0I0knhn5oiHshW2bbvP7aFd5xS4+3XGfQ1FlerjCMfIahR38Q0Om7OpZhpDk/f2bG6M0feuN3fLc6fbb9+5s3Nr99AH7s9CqnF9T/8vBjX/uV1bNPr6tVBV5HEngJ9cCdYCWMC+ikoC0D2kPNJ78RcM8zHa7Z2+b9b3RVcDOTAf1BQG/oE0UeYewRRjoPlOLYedlRkmlLSZIIEiMKrW0EuSqxjrmlwLk0abLI9wyBn1ANYhpVFxf0oz5ff9byZ9+Y4JHnJpnyPa7YbNk4LVk/47NpTrJlfchFm1d45lifz31zjgmlmZsQNOuCZi2i1Uv44kMVGr4rOzAW+kPN228e8oWHXU1Mq2s4v6LZsq7BO1/T5ZH9HfYd9KkHMUoKB3JTYxA6rf9Db2ixZ+N5PnlPmwdfmOTESpUNTcFExVLzDRVt8D3QSqCku5Edk0NWfmRSqWZMscLFKdAdQUCUCKIkBXbiWLsXC7oJLuYJQ+rVHu990zLve2Oba/ckrJ/26PUarHYDwtCBexB69AcevYHHYKiIY0G7Z3nkiafWXXmZ/ytXXf1mY+3yR4SY/rsN8F5viUHP0GiqH/7a3Q/8+p/++b0zHm0magFg0Urge1A17mJLafGEwJeCrlR0vDqn2gFnHqnx8HM9/uLKNu9+Q4833zxgZtInHAYMY48w8ogiL3cE4kQRx5LYSJKkALixKXOboqZMpPUtSprUnTH4XkLgR1SDkEa1T0Kfrz0h+cTdkzx3dAIRBeyYsmyctMxOKuamfTbMSjbNRWzb0ObkQoff+XydeFhlyxbBZEPTrEOzFiG8kHa/zmTDIoTAWohiyXSgiE1MJ/Lp9BJW2orTC1Uuu6jBT333Kh/604DjC3W0itIbQxPHbkLAhpmAa3e3ufKiLs8fP82ffaPKXY9PcqZVpR4oGj7UPZcA8xRo6dL5QoxW1xlcaY+xLvBOLMSJcP55IggTlyTqJ461+4kljmJMFDJT6fGW21f5/ts73HJFzERVE0Z1llcrDEOfMNKEkZcCXDNIbcg4EQgBMxOSrZVVTh/+5roonPz1HbtviE+eOPOH1WaN2am/vZksf6sAb7f7aL/2jkMv3vefjx78erOm+vQHik4vcWlqCZ52jOqAJlxKXIKvoKIEXeXTizXnhxX+6uEa9z7X44avdvm57+tw6bY26yYVzZomjHzC2COOdQ5yB25JYiTGSqx1ksDmAaVzapSyzqnRMYEf46mQdj9ioR3xH++ocPT8FE/sm8Qan5mqYN2sZXZCMNNUzEx6rJ+RbJiJ2TzXY2ZyhS8/aXj8hUmu3CKYakgaNUmzZqhXQ4Q3JAg0Wrm/by0kiaQ/1PQHEbERdPqGTtey3PY4t9Tkpr1dXn3ZKp/8aoXqskLLyAHSauLEJ4wk/aHH7GSF63Z1uW53l0dff4bjC5I/umuS86s1Ti0F+EpS9wR+JsOkCzxzIs+kCo7JYyuIDURGMEyc/RcaC0kMcYRUQzZN9blyu7se11+a0Kxq4rhOq+M7YGcrbKQJI80wcsAOQ0UUuYyxkjBRN/helUNHI77yyJdmXv8G85/fcuuNK51u/3N/m5j8WwP40aNHWL9+s/rtD//p7nsefaH5wqElds5VmKiJvINMpUC2Hghc5lCJ1J6LLRUlqGm3DPa8gH7ssRTWuOvxCR54oU89GPL33tpi60zM9k19brq8gxaKRk0jhJMrLivpaqWzdjZ3PS1CWpRwnrklBhnz/FHJY/s1dz7S4PkTDcK4RkMr5qqW6bplqmadD97UTE9oZiYFG6ZjNs312Ti3wr3PDfnwnevYOKmZa0KzrmjWBY1aTDUY8sCLikGo8eqkVZGCMJZUtOLqPX0efnbSFT71E1bbHourAfOLU/zU2+Y5tbjEw0/N4UlARBggjjNmlHT7mqlGhclmnVfv6fH6K3u8/7YF9p80fOGRCo/sr/LikTqx0AyHil6kUHnpQznwTHMC1hAbizUGTyRM+CEVIl59TZedGwdsmY34wJuHVH1FvaIJoxqtju9W1NgB2r2/1GtPZWQYSXek8jEjmzgWbJqzvGrPcbB3NZ97bGH3Dbe8Tx06eDDZffHFf3cAbu3DwMBfWfzmj+7ZGv+7p59ss3dDgKcdqGWqPR3MXKAjwdWUSIuKXUmql1j8xBIoQS0RDDX0E50eFTqdhF//5BQ2jlg/N+CybQNmJmLe/YY+29aFRJFI9baEEnOT6k8pDUIKPn1PlWcO1xFac/xMjdPzNSpVxUQgmKxbmhVDswKNqmCipmg2FFMNzcwkzE7GrJ8ZsHldm8Su8ulvNul361y8xdKsKRo1SaNqaFRiPC/kyw9XGPYk3jqQKZiiWFKvKt5yQ5/7njR0h5JuP6Hd06x2NOeWaly6s8G7b2nzxPM1ji83UNIAUaqXPaLEuUmDUNIdaFpdn0a1Rr065NItA27cO+Dk+RbHzq6ivYSnj2j+4hs1hHKFawg5dhEN4EqRozBh+/qY739Dn9lmwt7tlvUzkMQew7BBHHustNPVM1FEsU4DfE0cS8LYkU0YS+e1pwVtUSyIjZNAxgqksHQHPoNzm1hcjanMxP/u8PIjvaS266OfuPP58Ae+6/K/GwA//MJxtFfZ01498dvzp56Us5NTaCWIY1dGmdlTMsmsuTTwia3zn5UlSrKEjMBPLJXEEhlBI7GEiWBoBMPEY2g8YgML3SbfeMZgSfjsIxFCJGmtuLtIkJol6R90FYkSqRRxpJFG42lJI4Cdc5a6Z6gFhloAtUBQr0oaVSeHJhqSqSbMTMTMTQ3ZNNchYYX/+JcV7n92HbtmYKqWsndN0qjG1Koh9VqfarVGoFxtjRDuBjcGoshj0Bf0hwmdoaI7MHT6xrXM1X1OzU/w2suG/Ox75vmNv9CcWA0QwmBthEksUewRRpLB0KPbVzT6mnrFp1atUAtqVIKIRjXk2otDfC/i+otjPnB7D63iNAlkEMKOivJU0hkjEUISeArwGQw1Syva1e0kWcyTPieKOJHEsSRKVOqrK6I04C+cLQfwJCkAbq2gP4Qo1qy0DY8/+qB8zWvMb+/d3flmtzd47m8Dm/+vAf6Xd9zBifnp6oGDB9514MUDIlBVpBTUKir9QBZjLcYIpHQgz+w5JUjBLdCJxUsgNkUUH6eRfZJYYiOIjSUyEBtBZCSRlSRGE5mAJLW9yo88SylAC+GkkIJK1VLRlopKCDwINFR8SzUQVH1JrSqpVbQDeF0w2TBMN2NmJoesm+6yad0SH77T8Cd3rWfrpGK2YWjWFY2aol6DWjWhUY04u2Q4fDag4rvyW8gq/QSDULNzg2HD7ID2wKc/sCmLS1Y7mka1QqM2yQduP8+Rs+f4vc9tRkuNxZCYxJ2LWDMMFf0wbUCoSGoDTTXwqAYJrY6LMXwvwdMJnpegpWuUkDJJG0rc4UpXXMW9A7mgZdIqS+PiGhffqDzOiWP38ziROcjjzM1KCmDH2XOSBrMJOciTtOLRWMmrdvk0kmeFN4zftWfjxYe/8qXP9t/81u95ZQH+umsSf3H5xM8fMks/L4yWVkq0gsB3wyOTxJIYdyhjSWTpWbqMmlI2zazZNJXuGn1jk32dfi9Ls6eVcs7LFXmgVNbcQJrJc4GVlgad15CDpwSets431oJKIKn4kmqgqFYUjaqkUbNM1BMmGzHTzSGzUz22rV/ikReHfPKeTUxVAtY3DM2acOCuSuoVQ70S06gNeeQAPL2/xu45m+reIm3eHyqu32u5eFufR5+bpDe09AcJ3b5OQe5Rq1SpViZ57+uWefrF8zy8bwNYhTGJK4eNLXFk83qS/lBTG1iqFUXFNwS+R+AnBNqgdYKnXRmEUsZtwSJdaTDCUkRKohSci/T8ZiB3DJy/NoIkBXRiROpkifRauiPPmF4A4IlxhWDZdfeUx+pKIp/tnfuX3omaL3Xtl4HwFQP44nJXmqT7Syz85j/eOXfGJ5phteMKdaLYJRiyBIJJQZ7I4tkB26JNdiOQfniRA9oYHDunIDdpJi5LVlhrKWXeR1bcLFWdrxgyzVgqXDWidg0DgScJfEUlUFQDQa0qaFQtzVrCRD1msjFkZqLPprkVHj7Q55c+tp4Tpya5aNYwWYNmVVGvKuoVqFcSqpUI3xvQGliUdDU0UhbvLGO9KPZpViN6saE3dPvz9AYJnZ6kVVXUOgGVoMGODRH/+kdb/OLHJQ/tW49FYawhSQxxEqepdMUgVPQDSXWoqPiSwLcEviLQBs9zfr9W1gFcOYCrVKYIYUcbdNPUfnZDZqye1c0bI0r5BlKGpwB7KkWScWCnK3Niikxzkhii2NKKDO1uwv5Tx/xt23s/Ual4//crBvBBv4MxyS9/4csP/KOHHjlbuf3aITMTUepzSgeq2AWSRoqcxTOAG5V+nTK8MaL0mhzczqMFa2zB1mkZaHYwBvBM52daX4msptzZZXm5rZYEvsT3FJXAjWSoBpZ6xdCoJTRrERONkOlmn01zqzy8v8cvfnSWAyem2T7tHJZGVVKvScfeVUutklCrRERJyB9/tYFUCk86tyhncJst6x4/9KYVvvJ4SCcM6KUA7/YVna6iFWgqfkDgNdm7Nebf/tgS/+KjggefW4+xksS4tHoUu0KzYWgYVly5axAIKp4g8F1m09c2z9hqZZDKpgaARWTPZYZIT2hxrh3IM2lhTFbXUjxnYDeJSKWlKJEWpde2BHBXrx7GrqVuqW1oNmJu2HVqdu/Fr7njt/7N6sNCyF+YmvybZTr/xgBfXTyIsfbVncWnq0k4waGTDdZNSVTaYQMidUogke7OVkaQpMA2aYo4/7p0ZHUjWfuVyYMSW2o+ZoS5s0cGcClASDc/RJbYW+us7kTiedLVb/iCSuBmntSChHrVgbtZD5ls9pmbbPHI/h6/9JFpnj8+y5YpwUy9JE0qmnrF1a9UKzHVIMTzhpxemsJTAiVNassVQWaSSOJYsXHKEscR7ahCP20D6w8SOgNJtaeo+B6+V8HTE1yyJebf/i8L/MIfwMMvrHM6ODEuQI+TlMkNw8BQCSUDX+USzPNcDkIrm9apuPyDlEXSLVtkxjDuwE2WFEpJxlAAvqSnk3TMRhnUpgRs97NRcotjQxy7rwMNW6YrREMVPPzE6e+Y23xYCCn4mz7+RgD/Lx+7k/9yB7V3X/uH/vZ1HbRtMAg9NzvEuhS4l6bEReKMfaWKKjZjBEZakvTDZmC2KcsXMsSmBVIlOZIxyku8NymKIirXvylycCvpZm0X8gQqHgS+oVqxVAOnn2vViGYtZLLeZ3aqxeMHB/yL35/i2eNzbJpUzNUNE1VBoyKpVRS1qqBacTeHS/WHPLxP0B34VFRqlUqnwbMmhMQIolhTryhuurzDI8836UVOpvSHCb2+ohMoAl/he36qnye5dKvhV3/iPB/8XXhw3zoXbBuTNksXPZhDXxL4xrF3WpvipTe3O0hlSiHj8ikGFwR5dt5Fnv10/rnLFJelZLmYKycrU16dy18XVZ8IqFYE/YHg6YOGs6vneebMHf5f/cGba2cOf7a3add/e8D53wzw48ePs23b1snf+vBf/M4vfkS8bs/GPjdcXCGKlWPW9GRpDRjHDCZbqiwYxcjSZpRwJazjrF0CtMmBbXPmJtXe+cUQrqBIyBTcaZGRygEOKq0Y9DT4HvieoeKnBVZBQjWVF43qkIlGn6lGm6cODfkXvz/F08fWsWFSM1czTFShXhHUq4pa1W2P4tg7oRLENGoD7n3aZ7VVYWqqSJNngMn0a5Qo1s0obn9Vl3sfM66LJjQlkEsqnqTiaTzto3UVKQ2XbrX8yk+c54O/a3nwwDoio4myCsDE5kweRDKvLvS1ROu0CEsKlM7ODfn7y27CTKqIrCqNIiE0fpjScyYpjSmvvKNgNnk1Y7FSZ6RmU9cyMc4yvv2GNrdeZ1/3whOn/mDT7vf+9OlTJ1Y3b9n2/y3A5+fnWVlZ/uCgdfJ9ojfg9OlZjtR8ppqkm6OCkEUtciIdW6v8g4sRfZ19L3NEbL78fQvmTsV3lpHLtbfMKugK3Z1VDGqFq8/QFs9zjcUV31DxE6qVmFolol4Z0qgNmJ5o8cSLQ37+d2d56sh61k16rKslTNRsCu6UvSuSauDYvxLE1IKQ2AzphAFCSTxVJLtEmsl0cUXqHUcedX/gygXCClMZyAcJPd8xeOBLPK3xdLYBreWKHZYP/fQ8//S/Gh7cv57IaIaJIExMyuKCSmQIPIvvCXxt0tXLtfypdEXLel4zSSdL8YubajByuvOCtTK4cxIqEVMhL4vV2dXjp2XLOfjLBOb+rqcEO6cVO+fmOHEi4uziufdd7T19OImjX/j/lMG7rVPUmpu23/EXf3ilCZe4dGct1XMCa02+1GWnwlhQxqYReBac2NLdXhTgj7NBVkMyXk9SWN22YO1yUJktt2mHjkqDKdfy5oDta5tXD1a8JNXNEdXKkKlmj4l6h4f3xfyzD8/y5JH1zE1o5qoJExVLIwV3teLsxAzc1SCh4sc06yH7jlnueaKOLyWecp015b1ussA5ShSx0dx6bcTui7ocPlFlrgaD0LpjmNAbpCysFVp7aY+q864v3w6/+pOL/MLvGr75/ByDqMowkYSxpRY7yRJ4OJDrbPUyeW+rVEm+wikpSgAXJZCzRq8UIC8Rjy2vuqPALTN5me2L/8a9FrhVRArnnb94QiGlBHGOfvz4le99/w9vP3DoxPG9u//6LP7XBvj+Q2c4327umN/3yH8Y9FfeUfH6VKZVWkBlXJSu7YiOs2Os7D6wGGXvMhMYUQCcMZdkjVtS1DSMgFtYpMpsQQcGrVLW1hZfGzzPEHiGwI+p+DGVIKRWGTI90WOl0+O+5+BXP7GBZw7NMpuCe7JqaVQF9YrIvXLnvBjH3r4DeDUYEiYJg36FinI3mRSlpZ8sW5h6yLF2Wl4PGYaWfiRKADf4foLvaTxPukZs6eUAR8BVOwW/+tMr/Pqfxjy4f4YzrSaDumQysTRiSyWdOBB4NvX+MyfFFhMLUqmSATx/v+mbLuM81+TpRSlnqkfYPHttbIm4bEm/2xFSyx4yk56DhCgxSCkIwyGNiaV3HD34WPKqq6/838L+2WN+dePfLsAH7ZPYsHLjqRMH33X65BGmJ7w0G0ZuOak0Is86V1zSoLD3bMrgBfCz5UtcUIrYsQ8/rgqzi+DGPWTsbVN5YtOqQcfcOm1/8/PyWAfuwE/BPd1lYaXPr/xxjc89NMdid4q5CclcJQV3xenuWhpYVgNJLbApgzvtXQlCIOTup3xWIp+ZgJF67GwEXfb5k8Q1PzQDzRuu6fHwgZBOFDCRNvYOQoM/dLXqvpZ5A7aSHkK6BA0WLtkq+Y2fa/OFh/v88kfWc2pxiv6kZtIXNGJDLYYgcqOXfeUGGnlZoClFHgRnz+VAvXxjCpH3ihQsnpFPdi3XgH0U8LbM7Hb092SrcZJY4lggw+I9HDx4mOe3rX+X79f+eDDoH/tbZfA46qJ07eJzJ+75h035BNs2WrSKHYuMsGgJjVaUukfEiNRwgLfF90p3uc0yaRlNjDgmxd/LmCVLN2cugMoArixaOmBrlfV2Jvhegu/FVPyIwI9oVPto3ePepxP+4ItN7rx/HaFpsq4pmK04WeIswMwnV+khUuYus3eE1kMeeGGSXqjZWMvezziDZ7GIJIoVFU/x6kv7xMYBvB8JBlHRuT4YGhcc6nQ2TGbvpcl1i2B2UvC+27o0gjN85It97nthhnNRlV5F0owtdW0dyHUahyibxiU2BXl2DkVROy5BUrD4+I6CZXBmQf84OY3KkEyaUNiOpf825TBkfo0Lu7mN5U/vfJZgatc//N7vfO2TrU7v4ETjW4+E+5YA/8Yjh1g8+RUSJjeF3edfv27iFI1Kk2GkUidEFGxdYLDQ0JQ6atJkQbFMlf6NFXnwUvZfL5SizJoWCmmSZeVcxaCzJdPu/KxxWblajMCL8P2IihdSqw3w/R6fuEvza3+4jsML03hBhQ0NwXSQ0Aws9QDqaYd9NXDZzkqaEHL1K0m6Ejh5sthO6IY+vlL40uYBZvb+s8/q/GCX8Aljj6o3YMNkn9Veg34k0nFrLlbwvCS1+VRqd6rcvy4CV1f5+I5bulx/2QK/+kcD/uTLcyzHdXqBR92TNLWrwQm0K1vOmiF0lvRJVz6ZS5UiwzmiycdE+SjQswbn4nvmJcA+cjOUsZP+fyZxEiMYxpLz7VW+8dCB10dxsun02c5Ba59DiCv+3wE8SQzPLdyyw/Qf//BEdA/b5rppYZBPGGviWOUjCXKmZi1jl7NhIz8buxlGylwv8MhPuHSvZRng0qKkcYM5c+ZOUpDH+NpJksAfEnh9js3H/N4X6nzmmzMcmZ+iWfOYrsBUkNAIbJp6z8AtU3DLPClUSbV34Lsbp1kfcscDmoPHq1SUcBnDzEGhQHk+xsE6HR7Fmku2w3dd3+EPvjRDt6ZpRpZBZAnCNG5QBq1lOtmLEsi9EqW6VWHbrOSf/WCPK3ee4nfvnObIuQmW4yo9T1NXgloKdF9ad+OkLlO++mXnNbMPcfq88MhHL1A57s8lChcA8YUsRsr/RpRkTRaIwyCRrA4F7X7Cky88zE+8f+OH3/uOy99qbftbSpWXBXinG1KveXz2rse3fPm+47vufkjyM9+T8ANvWKTiN+gOKq7IPVGuACfJQC4K1jZuIR1lbJFWtRbMnl14Sl8XqLYjOjADtntOi4ZScDvXJGPvBE/HrnNHxwTBEF8P6SQhv/0pn498YQOnlyYxqsr0hGLat0z4hlrK3LU8fS/TOpVUmqTeeQ5u32Uvh1HIwVMB3TBgKkhdnCzplDFgJrtsqSYl0jTrmp1bQlQwoBM26PuCauRmkPipvPJSiaIz10OolwheFXMTPX7qHT3edes5PvKFNr/36RkW+3X6ukJFK2paUFWWILaOzWVauiyL8gZZsnvLTA5r5crI9RsBeyFHyl+bsktG2VmBOD03oXHzVlZCQRj3+OE3zvOjb+4zaffvai3MbJmYe/Uxa2OEeGkYvyzAh70FAtWY27PZ/9SfHHnBG3TW8aufqKLlSb7/thZSJvSHAXGi824a18GeVaJlzkiJyVN2x4qRu9adEzGmubOkQ+nkppVvWUBbsHdaJacSB3CdoFWC70VU/BDfC2kNQh54RvKJu5p8+pszDJIGvu8z4wsmfUPdt9QCS80vwF0JJEEgCVJp4hJDqTORAtz3XObz6FnLfY/XCCOPoG7XBJjZw+Qa3FXmhZHC8zS3X9/hk1/rcuBUnX5FMIwEQ8/ix+BFBi80bl6jFKmMkMVwnwzgmcduJLVAs36yzz99b49Ltw35k7saPLZvgoV+nYHy8TxNRQuqEgKZ2qiZvSqtyycIRg7GgT7O5GWJORZPlRk7K7fIW+by9+7KoUMDvcTNWsF0+cDtZ/n598VE4UYefOiEd9VNb/rUwLZfFQ67C39jBj/dmpJHTh64cf7YPRMXb4k5tQhPHa/zW5+a5lV7znDNRT0QlijyiJUuAG6KEssyuEdBLUon5KVliTuRrgOIcmGQMHm5p9PdFq0SB3CV5HJE64hWN+L+5wQf+1KTu56YYLnVQFYrNKqKSc/S9A01z1LzLVWflLUdc1cDScVXVHxBxSet0DMpuA2B5/S30kNePAWnWxWXWEn17WjipKifcX2QaeWdkYShZn1TcPHWPs+eiOlFHsN0xrcf4sCnklSiZIkakGOdOdnNk9mQUeLqw7//9j5vvmGFrz/Z4eNfbvLYviZLnRot6dP1Nb5yzd+BxPVwSosWNq/lkcJJF1HKPWQAL7P5SAw1zuQXkKTGphlu65qeEwOhEfQSwSAxJL0hN128xD9+d4eZ5jRPv1jnqRcNhxbvmnjf995y40W79nyJlxke9LIA77fPBCut5L9++msH6oKI890KRsGZlsehM4Jrdg2oBNI18iYJSaIwVo0BPJMio/o7AztcQJKMANzmz+UCfSdLTKq5DUomKJngZ26GjFjoxNz7uOaL9zf43H0TnG/XEZUKXsOjqWHCc508VY9UdkDVF+kh05LTVHf7giBj7wzgOsb3Yyp+iLURdz8RcPxsldlpgSezxJcoGn1LVGdNUX6aJIr+0GP7esHt1/T4zEMh3cijHwkqnsWPHYsPI1tapVTuVyPkiExxhywaFYzz26vBkO+/rc93XL/EZ7/Z4Qv317j3mQbnWzX6wqfva7Sn0ELgSYEnJZ6wqdSyKCFSh2O0efmlrt44wE1+A4i8jsUBXBCn0iQ0gshClBhIQqTosntzj7kJl9qfnRwwOxeyae65+kTttf+135q/FOj/zRj82H5WW10OHLYcXg5Y7EFoQrrnLd942OctN7SZCIZgnTxIUi1urEzdlUKulPU35aDyJU5PBv9clpQALoUDtkgBrnWCryMqlYjBMOHAaTh2RvFnX53gS481Ob9SB6+CbnrUlKThWRraUPUsVQ8qngN3xXMzCV2ZqSwdIv25TUFucpD7nmtPO3zG8OzRADwvXeZtKUU/YkGMLNNJ3hTgxjlfsXPIZVu67D9do18R1GJBEFmGitTaMyl7Z25KZkEWWiX32VMr0hiVTh9wM0qq1SE/8pYhb79pla883uXPv1bj2JkK+0/XCFcD4kAz0BqppEvnA1pKx+YUQahK61XEy4F8BOApsEnfX8rgcQr2rPEZk4CJIAyZqQ659dUDNq6PWF3psX5W8F03VTh6uskL+06g9NLLQfilAd5eOSMGg8E//PM//4vZN1zjIfe3OP2CwQ5j6ESEA4ERBq2H+MaQJAmJ1DnArZUUXSGypLXXPl+YtW3JWy+xtjApwBOCwE1SjZOEc0vw1W9oDp+qcs8jVU6vVDl8pg5BgKppKlpR15a6Ns5F8CyBdoPjA48UxNkh00OlACfV3Cm4vYTAc+ztbqyQowuw71gNT47ag7lEoagHzx2EzEkxMu1z9Lhse5+L1/V47khML/ZoRK752k9nAqoSwKUUCClHmBwKF6Ko/cnqz10PZZR4DD2fZjXkh9405JYr25xeaXP3oz5HTgZ85YkaZ5YqJH0PIzWRrxBSupVCpH+PNOOJGPl8F2LxHOSl106P2zy1n2eBbOwOE0MSoogJqgbZDKlHbfRgyGMvbuT+J2tMTRyafcc73/cPDx0596HdF224oMh9SYA/+OhdYJP3Xbb9QP2a3TFves0ixxfafPMpzT2PeUxNGQhAVSJ8a7A6TofJq3TgTgFyyiwOkLkmF2TwjBEKOSJE1mLl9LUXJESJ5chJwbNHFF99pMZzR31eOFqlPQwYhgF4PqrpuQ59BTVtqJZ84EBndRpZ2ayrCw9SWeL7Ct+X6Q1gC+3tJenQfafzK36ENSHzy5KhDdBa4kuLLtlsYwSegzyxo/2OYewh0MxNh0g1oBt59LRwTkdUFIxpZUYykFKUoths2BECa2TB5GnfZJJIvETl4yd6Q58NUyHb1kdce9GQftjn7x1t8dwxn68+XOHZoxWOnHDVogQKKxVGyNKHk+S7J63xycswp6RZMivJFM/WAGnLj00ci4cJdmhYXpE884LHPY/63PdkkwNna5hBwmTtRH3Ljrve53vqQ/9NDP6FL93FucWWuveRx8W6Ro+33JhwxU549WUJb7ulw9NHNR/9yzo//x8m+J7XDnjD1SHgev6q9RBr3NgG0oq5zCok0+Jc+FbP2Vq6uhYhLEIaotDSGzjgHzsl+dO7AnqR4qkXKhw6GbDY9RkmPmgflIdqKnwpqCqoKUtF4caZqbTwSDnW9j3hkh5lcHsSP5UlgQ+BT+qauJS5pw2+F6cZ0YhqJeT8SsJXH2zQ6gRMTQh06sXLEg7WfNwsbZ1rcclwqJidUbz5pgFfeazPiVadviedTNFudowXZZ516rHLxNmFlGedyPxvGKtLf8MB3U8UiVbEniJKNFHkOSvVi6j7EbdcEfPqS4e88/UDXjwpeXqfRz9U/MlXaxw954GQ9PqaJFRZ+SZWl0X5SwiWHNjFs4gtwhgsrsS0WnMJOYHhDbeEfM9rB+BZfu7fTPPM4Sor8QTKb3DV9ojXXdtlY+NF0Zi+ST360NfjG266/a8HcCFgbnritye0vCoazBGGXXqDEE97zE71EUbwxHMBzx/xuPPeOnPTCdZartkT8f1vHLjujdgyN2m4+ooh9UrK2vbC93f23Ww4T6snePoZj6W2q9p7ZJ/H579ZYRApBpHi7DkfIzSR9TDCA60RgUZLia8EFWmdx6sgUJZAWVcDrlPPVxfM7Wd9mTm4VdqjKXL29j2D72cFWknO3r4foVTIN55UfOahBsrXzm4b0d8vzeCZF+50uBu7MBh4vP3mPp97oM2f3D1BN65QT3W4l+nwKEvK2LxbSIjsTsrK0GRJ65cAbtLOd+2Y3NOKWGt0nDigqwSl3CD9qUrMzXtjbtobYcWQd9/WYxC5cW5/9c2AR/f5VAPBYlvx9HM+7Z5MVZLg5UNPV1pbr1iuflXI7GTsGl8S+P439rn64ghrYW7KsG5dwrNHNB+9o8ZSS8OERz0QNJRCxxMcPl656urZyd+2lp/6azG4tUvAdPPpRz+79/pLYxWohOmGm9nt+TEPPOPxr357kmeOV8CXzLcE86sug/HiCcvnv+FMMJtYJqYSbrwypFF1pZIvm6JMlzgpBatdxWPP+rRbCqklQyMZWu2YSWjXHiQ1QmqklHhSUFHOyw2kwZfgqxTMqpjR50AuioYH7RoBssbjMrgdw6dltV7G4EnpiAl0hLUhpxd9wmGFYELiZ4VnaVXeSBYz6+ihSK8XIHcjGcLIY6qh2Dob4osB/TigHwuq2g3BzGpIsoSWkuXyVpn/Lfc3ZJr8MUX21Ji0V7KQRnGczmRXKt18ICaKE1TkxkxolSBVzJZZk64Yhku3DQhtH6kNrZbgsWc9VntONuUs+ZIPV05brxhefVXExKTBJk7C1hRoQT7CgqHiqu0Jv/T3W/zCf/J46ECdxLcsdwSPPG85Pj9Q3lR371u++7ubzxwatK/aXXl5gJ+eXwCx8qGG/+ht1+05hFKSerWP9jo88ILhl35nknuebrqqHek2bM0+TGwNLXBrr7S0Vyxn7yktTS/3yHWkwAqJybZcIH0WqghypEQJN3MvkC7l7EubbkFi0/knBeNl4Pa066h3W++Rg9u1dbktUQJf4GvyElPH4CmLa7cnkKdjPC8iCCJOLhr+6Ct10D6eFEWAmcsTsYbBy9ZZNiTUgc0N1gkjjw+8uc9n7+3zwnyDbuJRi92mtK4KMKveBKGynAC5R13snptJIVkq8MoOk9fCaK3wEjcvxUuB7hJnibNglbNgM/fKDQ5K0MIibMJszfKdrzUgklLBnf0W/mH6/ozGxIWEjSNBRLYSpZ8tNtz2qohf/bklful3JA8fEhxeqrHQFYgTLXrBgdtuv+3Yhyoq/vvfksF//t9/Faz0Z4IT3HbFMlVPYkXMA89KPvX1OV44VYOqD1KXAoyxd18CdJK/thf4lKWlTIjSzVIEL0LKvAVNCfCFSyv7wkkBLSk9Z021pUIiTWkOCvkeP1lXfQFwmcuWwLd5S5vvm9LgnBgvZW9fR0gZcvycYKFdQWhNIBmRJ3l6vpQUKbsJRa18ORBUhLHHTHPI9g199p8b0k80gwSCxI238+JUh8fkzlKRQlcjnQpFFlEW82TyvydIEoNODImSKJ1tX67ynezckKAysA1KZJOxTJ50E8KuObLrfAGfrKg7IsuDlMs1iv/ClQgY4sTjtZeG/Od/ssCf3j3g/mcbxFbjy5g3Xb3KtBn68QXyPWsAfvTwPFIIvnRykg9/XoGNsViGQ41JPKiofAxaAcwyM6W1YCNyJC8yuSBrF7FJajtB7rO6qVS4hINIQZtNxUpf599LGwyKUlDyBltfCQf2EXBL9+xnQM+CT/LtCf20SSKTKJ52+tT3I2IivvBAlfmFKt6Ewi/XcJQdlHEaGCk4EmNBoGIwdBNs3/aaLg88M6AdV+hpTTU2hGk6PWsPzOvgc6BlfykLNEcLmIxJZ6pYSJT7m9oIYiXQiUx3sXN5jQzoBcBtAXRh0tZEWwJ66YC03PXCIM8dtJJkK2U/xm4FF28Mw4CdG2P+j/cOGb6r78ZvxB6Jmeb8uUUupBJGAP7rH76DRi147R1feuz6hgKhGwzT8WnVagpCxLcIH0oFVYymbos3vTbVm4qRPCWscMB2M02KxIKShcbNRi+7Z5GPQigDO5+DonD9iBcCeBZwZrpbZ7LEpnp7tJbc9yJ8L+Rcy/DEoSpoH53KE10qUMqyfWIM4TZtBMmZPBu7kGUdE0UUeVyze8jMZJ/WSo1erKgp8GL3WVRi3RGVAY4Def6H5NrqTmPzRJxRhsQIPCNIlCRRhkQJ4hTkcal4LSuHkJlDlJZKZPkJISwylRSjg4RsyUFci4TxArvyrZCt8bk5IaA3sPmGt4mRhKndWZ9Q12/be9Nr49b19+uJD1wY4DUt8bDfWfPs1Q01YHrCY5gINxQzHZCeXZickMsmPpRA7d6ouYD0LgNcljJhgpSRyJoXCqDk2TNZNPFmYM9A7hg861RxskTl3SsFsLPmW8feqebW5Ho7swQdYxfg9vLqxAhBxJ3fDHjguQYy0PhSuPnbeQVh0UZXZPrGs5nl0WiZJ+5yCf2Bx02X9/muWzr83p0NwiSgm0gqidsrR8uiWjGXKVKmLF7+Uy/F5GC0LIYuKeNYPAO3EmgpkcqWbM8SyEdKJkbZW5ZBPQb0tTRegn6e6S4IckSvl+YmuuRVugFCHGOUd/XCef87TSLuvyCDLy+eoV6vv/nub3zjBzc32sTrFP20JjmMSIdfFkMTxwtoRoBundoc76O8IIOXqtOyTo5sYGZe7527EgXwR4FOyuDkbVgjLJ52w3hqFNxunMIYc6c9m37a3ubprOEgLh0RIRF/fneTxAaoPHtZDjCLvsbM2RjR4OluxPkwHSPdeI0kCzY1Ao/vf0OPP/7CkFUT0U8q9BOBF5OzuJQWGYu86MzZheNaVJasSVECuSDRabd7Wr+eaNdgoBNJIi1SGWIpU8dGFoDOs8olBs+YW5TS92WAj97jJWCICwM8W3Xy3oFyL6sb0zwINe2u5NnDhi1L9gdfffN33HP8xOmvbN+2eRTgFb+PlmL3uonVXbPNHu0JH92L8RQMS+ONjRFpzUDBBBmb53XfYzWvlrWfLW85y0CeMfoY82VMvWbOYP66mO2R7UmjUnArNTbsJgW220qlZBemzO15WWOyzbcwzJhbl9g78EKeOCQ5eKaCVR5KSnxpUklVlijF0jTuomRHNlmgKFATuaMSxR67NkVcdlGXh16sEimffiyoSPASi45FWgSVduHEqQ5HIjBjWBorW86lUTGnJjHCDUZVhiTbZTpxU4FVOgI6Y28HdFkCeNE+mM1UKV9XMSJVxvBdWvHLxXnF+SnPQ8yyvjIfONrqap471KOtursuuTLc3e3FX1nD4I+9sEgQdHj8uS7zSwatoeKLdBkS6Nii0635EluM6Bqdj1EahPktAL5Gg4/VbJR1pSwxdcHoouieF+SdLhmTZ/telrf/zgBeHv7juu3JgZ1nK3PmTtLtwtPgUkdYIv7i7hpLS1VEoPEleOM34oUCzBEfvNSfWKrjzr1po4gizey05D23d3jiUJNhUqGnfKqJ0+JZOatKZ63npayY1BPPCnMdi48zo8nmPZYmUWlDKpWyFck1byuT1QLJPMnkVgxGWFyUCKsA+OjcwwspFVuSIrlCMEUDzWhCzA3VH0aSwdCNad40J7h0W4fp6mmqcrhWovzG73zGWXNhj4ZW+L4bGJPJCCkFKoZYFiOOs3Fd1o4GlGWzpPw6d0tKz0UQZnOJkgNkzG5TI0N9xhhcFc+FXJEoPQpwX6cDgLxs68A0w6ktXp6KN+nrZOTQynXuvHAcPnVXg6H0UVKl2cvRmSzjGcyXqM4oNWEXbopJGTxONEGiec+bBnzsSz2eOVIlUh49KfETk7pHApmUicCm7WVla9akf2t036IykxfgdoNStcmkoEEm2YiJYuRyBvby1xmgs23ELyhVxs5HuaR2vAlmdNhnNoPcbRc5jGS6P6qrvZme8PCifZx+8QBJUoBOA+w7eJpLdm+qffxjv7fzwIuHWV5NUu/Z5EGLs+4cS0hjkeldr1Lmzjs01rB3Fl6NIr0M8rLbMB6cZUt9BpycycvjDkrjD8pTm7TONnlNtbcaA3eWvveyxmTjZobkLWJZT2ecHhHKCzl4WtMJfVA6lSd2rDx2dDVa46KU9LAd98LTbpwi8aOpe4K9mwc8czAkMQF941NJXM22TjW4Em6zVpdYykN8siCzYHJRZDjTehidj/BwcYFKRx27jKlj7MTY/HxnY5ez5hMpMlu0DPKXYnDnjYwAPPNLcvyIfLhnVixmTDFUP0o3AB6GbgvyKIH+QPD4CxW2dHbs/KEf/sla1P/fel51qwP42bPnWF5uvcmrTH0wiYdM1D0SYwkjN+3IVfBmS6DbbUEmYKQdkSnjXfGjXDXK5OXevnEw5CluMcqKZbC7ctHSsyqGbMqSLCnvYuwpUi/cgdsBuBgK5JXlSZm9VdrX6Ycsdwz/6S8bLPUriMBz8kQWgW82eqH8uV7qUfQrFj2qBYM7RyWONc2a5me+t8PXn2iyNPQJpaYvJX7aQ1mMfMiCdlFoXmHyMlqLScFtsMgxZ0WkDF6MunOTybJzXIzkKFi72GBAZD/DAT+vE88APh6HvNT5SKVKPr02u/kTN1w/Tne2HoaSQSgYhG4evdvResC2zVMfbC+9cH+vP/hszuDzp1/E8z2WFk7ja0u9LhmG0Btk435tWs/gJlNl9YAmv9PsiJPy18nKj8iUnPXEBYNMKcssLlIWLwFcFePHVAnUWkp0Kkl0DvBMc5s8qPS0ycHtpb2cRUe+A7enInw/5M/u9nj+cBWkh5SSIBtXIYqLXfQvug/3ktWEpYtajCUuQB4b13IWxx5X7OrxjlvafOxLFYwO6EufQIo86aOkIBph0lEmF2UmH2sdzKWKAmXdqmCscOBWhWOVCIFMh/mrEsCL8cvFThYjoz0YlSpFTneM9srxSWllK2xBtzFtFDt5MggF3YGl13cD9AURhw6fJk40Yejm5muAay91+nTLpOVYPaQfKlo9txtXFEuiyKRLU7bXjACRzp8TJc1UungjBF7WXcKCKE53WZaMAzsDfD6n41sBPB8oKcYSPRnArZuTnUoRTxVuiVcaDlRobsfennZTq1Zahr/6RoPFVgAVb0yevLREQYwlx0qJ3TW2XalG3KQSJYo1U03Fd9/W43MPDFjqBoRK009kak+mgBOiANya5Ipj7+xbJmfzYkaNsqkOVwJtwchUn6fOlBSg0r2WkvRvujHV2XCjslVYAjqixOSZZB1d3rJG9OwdFxKFEYBnu7S5bcah1zestiM6fcPiakjiC0LtMRi4z63Pzz9PUJndMX/63p8dDp9h7442WtU5Od/kucNVVloFODOQWTJmsshS2rkM8HE7qAi2xAWYm/wkjMz3TgPNYvpp9rosT0TR4ZKytioDWxV70euMuVWJudcweDZuohg5oZXLXB49JnjxeAVDgJDOPdGiKB0YdVBEydUoTkA5GVYwuSjJk2z6rsybuONEg9Vcsj1k18YBS/ur2MR3LJ44maJLLk7OmogRmeCaCmTJ6UrZ3JZ8clkMuC/HNsa4a29KcjHJXpsM3CINNsssnjUpp9q7JE1L3J3jJ3tdnqWT7cRssk30Sv99b2A4eNpyYgmMsCSnj3LNjbt/9l3vuPWp228/cEyfXRBMTUQbHnjWf/NvfazHq6+07N7UYbWlaK0o+kO3SVBu9WUsAQgpSkutzS/YGkmS/18B5DLI850FyhIlm/NdliclmZKDe4zB85qUkSPd0lqVwV0CebpfvadS1k7ZW6Vfax2hVMQXHmpwcLEKfiFPyu6JGGPv8XERF5Ip41uE2JzBS76vUYSh5qLZkLfd1OPRF2pgPOLEaXEvSYd8JqNSqQBYWRakIE/lZh5sZq9l+lqmq4rMDpHu1mHz1VOacmyUul75LtbZTZ5Zh2Vwj1WclBRLnujJ45NCvmXpfIG7rvWqZesGQ32ixa7+gN2bB1yxPebivbe+2RPhhvUTyTG90pVIT7C4qjlxZoLFFY2UCc1Asm06ZrLuPkwG3AyQ1qmUEQ/zpaS3KD+PsLf7SQaE0cmmZWki8q+LmSAusCwzuCqDO51PWGzbwVpg62JAUD7iTZsU5LGTJyqiWgt56IDis9+o0x/4UNNu41oxKk3GA8zyZ70gwEtslcsUO5bwSQPOKNZMNDTvvHXAlx7o8cgBH1v36CdBWmGZFaeNa+AyuAuQj9Z8mOIGU47NE+n0eAbwJM8ei5TFbYl4bImMRuUmIyAvVjORIWZsqS/nPculIOV2ApXGGRXfsm2DZcsGS71qkKKCjQ2zTUu9ElORCVqaEBuH1HXMrlmL7wuM1QTafYg4AWnLY7uKN2jTKbJCFEvvha6lEBl3Fxc9A3R5gmlZmuQMngG9BGxZkiYyS9PLUkCkymWzrv0tG6Gs002YtBoFupeztTuUcgGm74dEYcKXHqzxwokaeB5CqrxsV2WMKQsWu1AV4YijUmbttKTBmrVeeHZkdmEYai7dFvOW13R5+liVYeyTSI++UfgJxXvJiSJjyrUgt2PvBZXdbAajBCqTCFJgFUhb0uOyTD6lWYYmvbFkUREq5JhdytqbfpwAipJZW0rdlxKGmSxUFmMkyysTdLt1LIIoCqmsU1QmE6KhRf/OH96JVJphr83mOY9qJesCcd3O+R/PYsvSVRNWFDbrhei7fFHHQDyiwRll7ZFnsRbYIx54qUy2AHgxOTWXKCm43Yw/mzO1zp+L114aXGoVEfghzx0XfOWBGr2+D3UPKbLKwXJNzAWymKXPWl7LsloUd+WKzbVGkj7lhuS0ACuMPBqNkLfcPORz9w54+kgA2mdgJH6mxdN5fkXAByLBJVqEcJm5siZQRQylFYV0kY7Ns1UlT67ZQo9L6YJOUfr8QooU6OlhbNoUXb7etiC9l7UOS6tMSUFkz9YKegNJt++TGPeDwPNonnyUfvs54tigNzXbIAS2EiNnqnhaEsbQ6cV0+zFxXOA3w7IUa/7+mq3P88v6UpZgFmyWZEnO6PlSX9beaXCpihG/46ztpluVXuvyfPBsZHAK7vTwsim0aYG/VrE7dITnRcQ24c77q9z3XBUqrovJz+SJGA0uc2ewzFIvo8PXTlkVeYN55qhkgWYG9OHA4/VX9Hjba3s8f7xCHHtYoegLjZcU70ckBYuvfRujTF6Oo9xuHaQa3KRfC6QRuQ7PgC5NGnSaUrxkyLewGSevsh4fAes4llh7ztz33BvN/jtrIYol7Z6g04MwdvuSnl9NCPwBxlj0TVe4rpk4EkSh62iOE8tj+wTLLfehMwbNZUVJbnCBN1l+byNgzoC+xjUpVd6NsbbIWftCafrSoWyJyW3K3umRMXfG5KoM7CR3Tpxj4p6VivC9iKeOST51dwPwQXoIofDy5I7Ni6vGHSBROiFFDX1JxI1UX5aKrtI5MsYaTCIwKh39kO8Tr7FW8/1v6PPVBwc8dthNEoiMopeIvIZeCtIUvsjXi8KDLt6LtdaxeBno6aFS0BuZ2q9ZUGxKmWVbCjCz16Z0baW94MpdYMPmoCnLOcZeC5EqhlL6X0qL9Cz90PLkwcRtKiwttaorgzbGoi+96Lz7oCZE0qPdtzxxSHHg9CTRQNKoukIipMjvvjVp6OwyjoF95Ln08wuBumByx9RiROeJ0sRT1oC82I4jY/Fid4eMxXW6y0PO2qVnnelvlenvGM+LiZKYex6p8uyhKngeSBdc+iVrcLR2ZnQTp1HWHOVPW3qRN0CUM4tjFXRGpdnNRDMMPS7fNeD1NzoW7yeOxYfCZ2BAJ6II/JLMLrQuIc0oyPPSZgqVmTG4VRaZ+uPWukBUWIEVLi7LWDwHuBw9H6YE9pGEzwg2SjKlfM5yLNlSvJZWaKaVilpZmrWYaq3LvjMhTx8MWO0oppqaIEgB/pGvJAghiaKEOI5ZaCueerGCjASbp1LrVJVcjUw+jAA8W3JsycAXY3dqtmSXb5AC5CNuyYg8KVlRpR3L8j14Srq7AHsB8oy5s3nhOgd1MYFW6RLAU4ni64iDZwUf/1KDYeRBzUvlCXlrmhrJHJacEzF2tS4kUewo0MsyJdtU4KW1uKYeSH74LT3uvK/OgdPu5kuMopcoV2WYpMmfNCknkiIDPboRTBE8ZcFmObehUo0urcUaV7phpUgBLnIZJG2hvcuFcqNJLzH29TgR2hwv5dVfCOfaSemKVYQQKNy518pw8YaYn/u+Nk8ebnN+RVCv19E6wFqL/oHv/un1X31w/z//8J89QHfgdk1rBoK5hqHiUbLgsmmma5mX7M2PJXHWglzkLgOINUxeZsERYMtx5i43PdhCg2d7sefNx2Vw29L3MtZOX0tTaO80uAxtzB1313nqYNW1+wiNEtKxd1qDXe44KssUBCPn5iUfIxq8vE15Ou7OGAfsEZBLjNGEA49rLu7zvW/o8puf8OkbDUYTCUnfuBgh96STkrQsd72X5BJYVMrmyo6+t+y8W5mBPwN0EfQba3OSMu6eGpVuGQZkGQ9rwcz4DUCRmSX15wWWRLit3wehYnm1zsyE4rYrhunIC4grt/1zG1z9k/rYiVOTAb23XrwuwViNIAvEsqYAkQ9cL+/YO6KnykvNiJYSF7wb14B6RKaMFVetqSK0Jf1tS+xdsHa+P88IuLPtTOyYJIkL7Z2C29MRL56RfPLrNZAapGPvvHO/3E1UvhHHLtzIKpd9UfJ2R3RvtiFAaavsxAhX6ZcB26bpe5Vq8UTz3tt7fOaeGvtOeSBDrJAMjUc/lSc5IaUlpCIRZTHi+DzPqtqSXEo1OFnFaFE5mu2U5zS4u5GkSP3xHNgp0MdBbkfPTxnQlM5X8TP3/k3mUqUpffeWJQZBlEjaPQ+tGgD0+gkTc4O3BrVDk3q51WcYRsxNSLQn8yL8AmyjwL4Qg4vSunIhfTUK9HJUfYHiqpKfrEYAPjpvZBzc5V3VRjegKljbS0cPa50Oy9dFtlKlE520iklUzOfvr7PvYKG9pZDO+847aMbeb+lcjDBWHoGMEHfp9WgD8oU88azz3SSSRGYs7qTKpbuHvP21XQ5/MiBMFAhNkmj6CBQl+w6BxBLlknItk2elq64f0j0ra7EyCzhTAFv3e/MUv3CVpTID/hqJUgJ72UJco8dHnZXRf+d+hxQ2T90nRhBGloGUucPitkiPqE0n1FWI3jTnE0iflY0VLIootkSxIcnS83b0j68JDktgHpcnRSbLvel8+UaMBCRrnrMALpMjYhTYckR/l8AtSww+Jkk8bQowy5I0kQ7Y7kjwvIgjZxX/5Y4mA+mlDK5LXfNZF1E5HV5m6tIVejl1kiVY8jS5u0Cj46bLGlyUJIoiMZo48QiSmL//ri5/eU+Nw2c0qAhrNKFwLK5yeVLo8eINlkGefs+CGvHnhdPfNi2ZzWrGpcgDz4y5bXo+jHT/jRmxfy9EipkbUrD3S8mX7HcYIUgb9yEu2NwVX1miGPp9CJqSfizRE3WDTAw7NhmGsaY3kPQGkmFoieN0d9pM/I/IkLXyo2wBjmqpgt2zlv/sQ42XxQoxytqFPBmVJjLtNiksQjvmoGTa2qTTWE0x76MsUVQ2nixG65B2aPi9zzU5fT4ApVNrUOYDhsq+d/56DduMBVUvB/SyVCntHVq4KFkKX+ZH3gwhFUms2Tw35Cfe0eFXP+7TitzUI2slQ6OcbZiIHOTlYBNRgDzzwYtxH250R/kGVLasw1PCsSCsxWYSRZTAnl5PUyK3tVaq+3wjcuUCbJ6tAOUbweKG0MYJbvvzYcJgkLDaiZjbmOBVLLpW6yHpsH3TMsZMcG4xYKktaQtJKFwnx+gQn1HArgX+uDy50HKzlrXL0iQvGBoDetG1XpYlxaavDuCmAHj62skRMwL6TJIU0iTCCyL+5M6AD/9Fk6HxnDwRKpcneVPxhQqsyssqxaTXl6PztRWFpZ2DKYLNrB5/TQrfuK3AKzrmp97d5cXjPh/5vNPioEiEZGBSNyUpBZllb3yEyTNEiyJOkDbX4BmbO/a2uZ2YAzqXK+l1talVKdwNkIE9ly8j0mRtpeGFmHz8/CUGhqGh249ZacfMr1g6g5CL+iG1YYT+5nOW8wsxYbvND3xHRMWfZhDW6Q2cg0J+KgqtVn5j5TdYfhNlHcoFwJ1p1XFgizRDuFaeXAjctqTFzQjIC6Cnbol0Y8h0SXdngaXzvSOWV+Avv15jZZiB2wHck6Tuybg8KQfC6XLMKODH8V3W2uMgH6nqy5q6TbmUNqsTd1pcGYUxmjjRTPgJ73pjj8/cX2Opo0BGYBQRmqEQeZ3K+M1YmM4luzDT3xnepUVlujxjc1nclEamYytKQJfC1bEIYd33yOScyO+hHMSi3JwxhqXSClheDfMEmbEkiaU/MBybt5zrJLzr1hXecnOXZrOBrqk6Nppg39Emz59YpKY1nX6VKFIO0lmxTOkvlTOZ+fnJlqEyk5Xe4Dhr51+XgF0AvmDvnDFLezhmQJZyrTTJpYgswK1K1qBac6TsXYu58xsVHnm2iilpbyVlqbBqtN7kJQFTOkYwtObhgFVUzZW2Ny/VQhfWYRp0Wokq+eJx4qFNzKuvCPmuG3r80Rd8UCEIiRWCgdGuvIH0BqTIcK55L5RFiyi5KYVEKbN5ls20MiX+EpNni4URRSNGdr5sWXLI0fM0EsaMx3nl76UP35PUa4pqfcAl61e4dIuHMpMM+xPoS7Y5o3znTMgnvlYn7FXYORvTqIHnSUb2Lh/75SP6UlzgDZXALce/Lu3UWwZ2ocHtyJy/grnHWLwUWJbBnW0nqFShvZVKUomSyhPpjsCLOHxC8vE7G5zr+OnkXDfoXQlc10x6kS5cUDUWRL0Ee48/RhI9JWYf3zDXmMIXtyVPXKWltEq67U/W1xN+5Lu63P9swOF5CSICFAbJQEgURclF0YCwFuTZm8uYOgM6MtXpslQFmSI5r19Jz437dlpoJZwTk9Wm54ydybm0QyaLC8pltMX3yN/beHLQ17BhVnH7q0P6cY8/v2uaVy1pdm6VaL/Sph2t8sLJkBcOrWdDXdFvGKqBa+8qOxjjTDSiMkt3HulSnQUVGbsLUbgOZXutqERLJcoFtHe+D30+OtgxuJYm/Z4dAfdoQGlKgI9RMkFLJ018P2KYGH7nz5rc90TV9bZJ7bS3lGnXTkn/5yuNXRtgjjG5GDtX5fO1NoNZVBlm+rY80q2YYSKdHreZFlckiSGWGhVrXn9tyE9+f5tf+h2fYSxdI6qRxKmrUlT6iZdlckrftVkSKGPqzGVJX2ep+6z61IoU6FJg0uttbbkRouyojZInF/h6JF4oyVuyilIF1QCmajV2Tzd5ZkcH4bfomSr6m09XOH22wb2PTrN9WrFhSlCrSLTOZolkBeYvz0ovFxhk8gPWArtgcHuBALPM4gVjFwGnGWHvteA26fcz3R0XIFcJSsZ4fszdj3l85r4aw9CDqnbaW6qcvYtt9MYC43HmLqG4UCkvURJqR026opOlDG7XSVPu2cwaIVTG4iWgx7GmWot51+v73HVfn68+pkBFjjmMJBLOH88dFTve7VNc4EySiPTmQxa63Ka6XELe/eN6A0TK3jZvbcxyJza/1imjr4nhSqs/rDln7t8W71EKkfYpWOJY0O0Ljp+tMAxneOM1LSbXSSo10BMVj0HNZ/usx0RDUa1IahVNNZD4XpoCH6efl3is1Ux2VJ6MAbtgcvsyEsWUAG3XgL0AdwpqXViChTQxuf/tNLcDt+9FrHYtd95f48DZipMmwpXEijyxQ2lD1FGQjzhB+c0tSkD/1ictb7Yt1YSXpUpRMy7ySkNrTclJkUihkIlBSk001OzdEPFdt3R5ZJ9PK5QO4Dg9HqKcVGFci4/Kk5SWAfJdG7IgU8mS0yPsCMhNBmhSiSJHwW3TYNKWg8v0T4vUp/9rQA3SHtAknZZrESSJs7l9rdjqN2mYOrriC5o1yaY5n3rNd0PgfZG3el0ocoXs5K+lpQulYF8K2GsCy5TtXQe3vaB7IkeCTJeplBm4y0BXxc4E5ecM3J6OMST84ReqfPiOBlZo53unzoljbydPxt2e8eTOCHNnIB+56y/M3uXhpKNeeFmmlFvZMsswlSlp572RJmV1t0WgVIafemePQ2c8PvwZTRSnNQbGpbYHQro6lfyvpxHhGjdlNPBUGaDBuSqZo5iye3bNs38jhfscWXXoCIvb0nmkAPt4F1uZCIpzVmJyKYgiQxhK+gNJqydQQjG5TqEDiV4/kxBIQ39V4vkir5mWaQic7waWZdnSrmZTaqMvF2COSpPsgo9qLzEG6PGkTsbSue4uA3yctWXqc2d71WczurNNYjNw59IkRskIz484dE7ymXvqdLseVFXB3mXnpNyWVpImayvlxrTjXyPJk1+4shbPwZ4CPW00sGlXuRFitOsn0+XSaXEp3UzDRj3hnbf2+NI3qxw6m2bIcGyeGMEAN6LTtZqVmNwWIFfpHarK11oUb9xKke8tlmtx4bLUbvyKLVjbZqTm5M9IYJ4yclnajsQCI0F4euMbh8G8rCStl9JakCQxU+sjBkmE3rk5ZLka0V+NU83ttqC2OM3nRmVlww8hEWmtSikZMEJWIwxuR4Owsgwp13OUA7e87sSWgM4IsLOdBkbBXU70lGzAnNXjHOxaxwwjw10P1/n6k1UIVBpY6jXsXUiTURcljXEYr48fif7/Gx8X6vDJLUJTlilihMUTI5FGkgiJTBRSKKKh4o1Xh7zx1X1OftFjaCQIF3CCIBaagQVpyutz+qHMmCYvZzwzuSIyUJdGH5fYvHBTSvLEFqu2kCK1ETOJIgqpkgl/UaxyJge2dTg0ljiG2LhZmaQ3kFauFmW+LUgqGn2mdelq2D/4pQ2zB7+nWWvjafeL+qFiMNT0B4p+qAhDmVs2xjh9VR507y6qXcPgktFlfWQwjRxzJCS4jY6yG2BUc0uVlammIB8B95gsKQWXWVAppevUkX7MvY/5/NpHJ0isBu2lFYMaISWeKIqqiuAyA3epHWusnmbcRSmvaC8F6DKwM5zZtN6jSPwU6XsrU2dFjILcGIkRisQYpNHEsdtf6Od/tM2BU5p7H5UYv2Bxa5weHwmGy0AvyxVBXoCVBZm5Ds8tQpdMcp/HERUibY7IAs8U2BYQiR2pVRIpy4+cszGXyaRgjhNLFFkGEfRDSz8U9EP3e5WAmYkKl2yf+tItN+5aVf/o75luTR87XKt2f9LTS2jdQ+s+66eHaCUIY5XuYDy6v/yauoux9HVR+VdK2lyg1FWWs5HlQFKtrRTMGbucgs/kShpIyhLQy8mdcq/lqWXBr318gvufrLtNeaSfA1xLQVWSbihV2knhJY+0MSMfkjN6yLTdK5vdklVn5ueo9Oy25i5XThb26UjGNxuTJstBfDaYPiMRi7CW2ZmYQFseecZntT8eNDhNjijnOkRpBRq/O8e+tmPfzdh8/EYWxa1jS7/Llv77cvc8a1Yyd9O4Mc8O5GEE3aHl7KrkdAusFxIRMzQR0tc8e+jsj/zlXU8d0L/6SYWUgjBUdPsVQFDxDbffEPK6S1tUfJ9218vflvO306Kckmwrsk92jTYtkjq2dBOMs7cdZe3yRZZj0kQVGju3C2UG7lSGyCywjJ3nnb5O/ISPf26Cz36jjq1kutvJk5y9R7T3Wv1dgKpcb1PyuS6Ai/K3xip78mK2kS1hSuydx0EyYzKR2ocXki2FVEmERvYT3nVbnxeOeHzo9zVhEI8Y9cZ6DM0Fdl6yRYmdLdlzFje7MB1x6P6NJI3NClZ2wC4SPja7gfM/XSR6MselcFOKczhe0pCveAL6ERhvwHdeu8qbrutTCVza3vPqKBVgrUE/8+I0UgqGw4hud5BOirIcORVz8njE9XsraUq4JC5T7ZSZmeNBQhF0FYMZBaVs5ZqEiaWcscy+VmV5ku4sUA4wC5mS5HIlc1QKqZIg85qThK8+GvDRL9YZJOkUfJkdTntnu7nl2nuka+fCtuea1YziHLwk+5XBnks9u5bBsnoUWdSk5DIlA3pWpyIsMkmlijCIVK4EnuFH39blwad9vvqkTBk1sw8FCZqBzXa4Sy0DSTpiIvsg5eSPi0dU6SOlTqezC6Vrbyt3N7mbYFyWZBhJv071tx07W+Nz55WEiifYPCt4++WCN13nMTvhpRWqBu1VkdJ3ry/f7C5aHEM0dEMr3YarmtXVBqfmNRMN50yUVqI8YCh/D9ZmLF+WtccY+6UAXmx+NOqeyHKGsqy5ZYKUbndeKZ0tqHREbwi//AcTHDkdYPVoYCmEwMuCy7Gy2NHk1MuB2mZr3EtkLEZBXmbsNaBOf27S4UCG0hTYkSynwAjpdk+TpQynVG5XY6ORoeGizRH/54+1ePD/COgM0jeeBpwgSaRiYLKVqARyY0cCz6wAK0/jGpvb5jZj8jQR5L7nPHdriuxl5q4UlnGh+y0vRQXZ6XSZS9+DibpiKgg4fqbBibOZTDNUAh+ltevJfNUl65BSMeh1aa0upTt1uS336lWJlORTZEdSz2PvYi1rjzomZQelGBJpStrc5v9OCRdQuoDT5kwtswBTZey9Fty5NMllitPdcQL/+dMNntxfcZ53mo5Huh2Ux9k7Dy6xa+u9WcvUa2pS0rMyqlhe4vKVLMKi6AqKeY/l4UAXaIhIh8RLIzHCkAiJMBIp0hY3oZHGcM0lET/zfS3+w59NEiYZi4tca8RGMcjf91g5bdldESVfXLp9fTL70Ba/bsRpyVLrGQXY7LymvywjiLyor3yqSnFvxvJSuiGlJ88Lljsevk5vHmPYuGGWyYkGcZKg/94PfBdBpc6JY8/x8P1fZpj4JIlbBrINmjzlgpbsxGfsU676GgG3GAW3HAO3C5TMS7D4mEVY0tnljUhzB6WU3HFOSWERyqxasJLwtYcrfOTTDVp9D/xMe3tOe5fYe80Gq2NW5prCqjKCRVnJvsR+onb0mtkL/Hi808eUZErO3LKU+JGufSwxFiGl66YxkkQopDSuXiVWNCuGH393j8efD7jrIQW1OAVtekhBbCQDQDKWCIIi9pKgTClukIVOz4Ccby6R+uGZnZjLlqzhBbeNocwWE5slnhhtPiL9Xdi8CcRaN8On3XUBfGJgpTVg12W38aprr6Td7qKNhASJ9iI2rmuTJIphmNY2K3dRrSXd17wYa7uWvoslPN91qxRAFsxdjFpQY5JECpu7KtlGoyObj8pi110lyuAuW4MmZ3AnTWL2H9P8l081OLTouflkopAmecXgCHuPJnReUp7kH300qVMOktauseR0PVKLUkrPZz1URcIn84FHJ8GOJ4OkSRuUhUUIiZGupNYRj0ZGll3TMX//PR2OndMcPC2wugRwARaP2Er6NmPs0m1Y1uLp64K5068zmVJicQd6m1Zgpb/KlO4rOQryEaFSDtBFsZ9Qkhj6tiifEAKGEaz0QoQ2NBrpNizzy4pKRXF8XnF+BXZviUiSDJTupA5DRW+giJPRMbbS2ryWVzIK5ixZUwb9uFMyss/LmObOAspCpphcnowyd4m1U6dEyhgpI/wg4lxL8Mu/3+Qzd9ewXuGYOHArJ8cExU4J2Xsf+Sxjvn4pkC6XJFD+Xhnk4wbFGsoelShlPZ6OpUmzx0XV3oWm0RrhCrGEsFiZeeOloDMxeNLwrtv6tIaSD/6GZH5VQJDqirS3zBqPCGdZjoA8/dqSltEagUodlfxnaWFWwd4lRi+5b1nLYvGrC5DnxJ3dHGOPKLb0hzCM3Y2f1enHiWB22rJtvWX9pLN69fb1HtNTtXPL5/RX5vX0m7VaZaoJtSCiVokAy0q7wsGTU4SRdFmjdKkx0g1gye+0nOlGs5Rlu+/CgaUpAX6UtZUoWYKlfdNHwJ3LlkJ/ezomxPD5B+p87dFaUWuSOiYO6M4WDOQoe68dZl9kLy/knBSfX6yxBEerUcUoustyZdwizHS4SVmx1ARs0pkkNkvhi0KySOM6bBzQM3C7eMcIQxxbAm140w193v6agD/+kiaM07s8kytSYK0mzBjXZDvGZ/p7TJdLt6GtSgPN7CbIgZyytZWuLMCBh5zNs9cy/+yj0i8fHZjirjuwnFg0LPYk1krqFWj4lpoXs3PLBIOB/sqpxclznXaM3rh5Nx/9k08eMzb4T82pjW+eqJ1l64YB55b7PLDPMYCIYX7BbeOWjUnLnIZcMo04JyX/eoy9M5YW46wtSqAuOycZwF8G3JkckTLNVuqIWBg+d0+VD32kyanFTHeXfG+pkJJ8j0stL5CxpBRPlMGNuODrsjwZZ3X382LpfVkNjhgLMKEY7VaAPGNtadOB9unXwkiMsCm43bkuv46Gmq0zER/8sRatgeSz99WJkvTOtgXQrVQjIE+X7XQrtEKiWFzfZ+aHu+eSf56yuMxkCSWQZ7GuJa9WLJc7ZOSSbw9ZkdRqCbq2SswAK+HpIzUOLtbYULNs3byZjTPd/3T6yF8du+l1P+T26LntVV20FzN/rsPqygoP3S/43IN1nj3SoO55bJ9W7FpvmJu21KuCwLNILXJ7Z2TAea6ny9LErLEA18iVkR10zSiLyzFwyySVLib3uXPNLWM8L+HoouQjd9Q5cDiAelmayNwW1KQp+SyjOBYgjxylmvgRQOfX41uNAn75R6a3s2q2cvq+LE3WOipFrUoiBMKmQWb6PSFlmvaXSJs2SAhDPDRcclHMj76zw6PP+hxbKEXMGfgAKxXRBUBuU5CrDMTpf5NVEmpR+l7670fkSgZyHLhNuhlcMU7DpufUZX+1EgSeolZVrJ+RfOcWzaZ1MbVql2eOrfJXD9R4Yn/As8cSwvskg6H73Rpg686L0PUqTx5u828+PMXp5Sr9QYXJQNLwLdq6/H8YWQJP5FvM5cHmmiCzxNpyrRX40sydBpPClIA+qsGVStKfm9TrLrG3cOn45Y7gN/+4yT1PpiOPU72dJ3WERAryTvliImupyXkssLxggFkGecpMbofh0nn5FqAmv6Al9s6CzHFvPA84XbF/OfDMgZ2xuHAsLo1xEkY4V8W9R0MiDPQMt10z5Oc+0Obf/sEkK/2yLiBncyOlA3kpsLAyk09ixAtX6ddxek+oTNKIki4fA7lIWT9dN8hGV5RZXEmB0gLPc1tEmqRBFCpEUOW1e3tcvWPIqaU+bTFNpC9F2E4BcF3bDOy969Nff+TXllsbPzghh+xYD43AUKtAsyYJfJlXGebXr3Sxs/qHHLSinIkslbsKOwbmC7N2xtByHNwpsNWY5lZpC9pAWn7njga//+kGnSTdOzB3TYqkjs4DyxKwy85PrrtL43rFqD2YszmjgM/swr8Ooefp8HJpaKloY22nD6XhmE6qZEPmHbBdVlPKosVNSjf+Q2TuinFyhcTS8CJ+8t0d5pckv/XHE/RzH1oUrofVGBQRYkSekIE7XQ3L1VK2FHxak36v5LqUmTyrLLQml/QjCa9yrG4tDIaChVWPYSRYbnvUK3Wa9QEXbQBZXfy1I9Ur7pqKjhUAF/IS3vuT/7YnpTx62RaFCQ3VisJP5xNWfEngyXzLkDW1JunXIyAp1ZOoEc/bjLolctQWLEuSgt0NMmfuku7Ov3buCZ7hhYM+f3pXjXakC787Z3BZsgXTHdLG2HuctUdqv2GNTBlxS17WG/xrMnn2vbIPjvOlR+qhrQOFSUcaG2tzLZ7JE5myuEl36TUpwBPhlmAhLHFkaQQR739Tj688FPDUixJzAamCZATk2UrjTpQtOTAOxCplbZt9/FJAKkxRw4IFYUoJHpPOIczs6PJYaYMbuBkJ2j1BnHXw+D7Bqs9Mz2diIjzaML/Yu/aN/7oAOMA/+envplqpcO999/PEE09QqfiAYwZPS3xfuuVBjkuQsvOxtp2s8LBHZckoO9sRaZIDXBrH5CqVI2UNLpMc3FLGKM/wzGGPn/m1KZ49GGC9LKhMS/1SoGfSxBdjlmAWP1Bi5NQ1GGHvMlNfqKqSUdC/HLTtmhdl5ipYnTGZYtLZ3FmbW9HS5vosZT5E3yLSVL5IgS6ESksmVMrqBkLDlbsjfvuDq/zk/yXcPHSfgsFL7opBEpI1vmQOish1thaFq+KynORAdwki93NpSucms0/SLiOTLh7GFtuLG2tJjHG7bwv3eYeRq9QEJ5fqM1ex6eKbCYcDYAzgO7ZM4wdVLt1VJWpL+kNNp1/a2tlz7fn5Dmb53JL0GK/6UwV41xRNSevYV5U0eMkOHE/qXAjcuXMiIrSX0LGC//qZOk+9EJCoshVY9FkiRJqSz97z6MZN35K9y8wtRoFOBvyyNhn9RxdE+HjbWr78r9Hfxb/Jmd2kkiRjPCPcCDUhUmA7Fk9SoIvUYZHCJYPA2YgCi0os11w65H99Z5ef/w8enRgXnGSdCzmTayzSMXmaDDK5v50legp/PKtHyTKf+d2fuzHldc4VXiWmSP4UiR1LnJIguIrKoXIrRrdvWFiOmN3qc10wTZj089+ZA7zZkHi+f+iibeZw1BnseuGQYBhVHHuN7BicDtkZayErNwaXbb78a2VKnvZoQqcM6DzJI0uB5AXA7ZI5MZ6f0EvgI5+p86mv1RlmPncO7MI9KUuTbELVhbKWGZuP7Jg27qRcAPBluF+gAPVlmXy0VLaYO+JqncQF9ffIXpdp25kcqVNxLE5qGwrrmgoS43w5kbO4RSQGX1jec3uPfcc1H7mjQTcS4FF41jZ7nYLciBzApAGnNYVXbksVhzbV4Jm1nDUvl2/rRJAP1kzSB2Q22AAAOq1JREFUoaGJcfPNY+G8fKfDs6SQu2k7/ZDzQ8HqUB0WMjgUmf+nvXePt6sq772/Y8zLuu299i0795CEEBLCJRBAQYO0oijiBSnanurpW31bW7W1tr5arcfWtkeL9lTb12rre6rW2iNeWxStAlIRUW6CyJ2EQEhC7iT7um5zzjHOH2OMOcdceycCglHPOz6ftdd97bXm/M1n/p7fc0vybRu4G+/7qw9z0qZND++drI7fctfh5+3Z22KgXiGOTVZpac57YB8LLeC90Xyuo2vRzrgoJ5P2tkuWknnbh/7c7vkuPi1J89Kz2QQ++fUG7//EEPsPx+bL2RwTPxVWCEEsoSqLyGXoMgct5Srolx1dnRdquJwUUW7pLOdOpiiPPCxGsuRDtFyBhOw7qPqKGtwBVcq6yw+0IqFtTgG0d9CZqKuTcD1JV1BMfsA/ODVDAxmbNiRMtyT3PWyDQP6RWrotPMWjOKRLZzbvyNd9vM0Kgd5t9/2L/5lPjPY8zTzKqyGUkoULUl64eZDnPWvRR6enHvin9eueM9eCA+x+fJgoqn6j2xl92Ugz3TjYUISyyAwoJif0X8p9uMt9SvpySnwrnst9Bf8WjnN7UmBBUwpwBzJFVjRf/Xadv/rEIPsmQoNa51SWQvJWNcmtt57Xas+RBEsWur/Bv98eotgx/Va7rK70heT7Lbnuf87j4Z6l185yeg5Y0fatsOLGAZUmA89ab8PLtaEoNqyfKScfapIeLB5Oeff/PcWhacln/2MAqpmnelCKQGppHE+FU0FEroMr9x1tMpbMLTn5fewZyy9sdl3yhRCITPdtW0ODMlsq1+kpKnFEMx780QmrB76RznZL2zTw71xz1Wf4o99ctvOEZd2zl49PndGoZmgdoPMxcbqgKW7uZFhMLvPB7UBfjBVxltrPCPSsuYtU+oULHgcPZJ8kWFVs2xNy+aea3PlAtSgcLvHuImJZEeSjt8M51rtchlZq+imKXuVBbrE96y38gVne0CxrrYUsW/BiVMs81Cc/U5T9gDkHmpdbX269MPe+y95zlVglJaj0ud7BqDTNpqJW1dx8d8ThCdGHFN+SO3fcgFzN8bBdmF9QaIR9Zjw/A5TPEO6c0D80AQwvb/c0+w6lPHZYsuNg9T++cs3uj1566e+UvmbJggM8uG8lGkmcTbF28SydboVWR9rTBTnn9seC5NeuT4nrUeI5msLXtYWyBcfOqpf5d4l7C3c7tY+nBLHi4T0hf/qxIa6/o2p4h/QlQcfDTW57Yb3LIfn+krT50mL9WsV+mdBLwnvCuveRl3EuCw3cm/zgQOLJhAUnd4Ee26nKyoe5FbflaJl1MLUwqbTSyYa64L1CGOsOGtFJ+eVNHf7iTVO852NNHtkb23F7vsPpJxwEZMi8dsC0ujCSX2DPoM4ZVRqb4mvUF9Xne5TlJdccyE7a8wDfSzQTrYznnim56Pxxskzzyf+3vFXnAPwVL3kBUoa9nQ8eZPrwPWzblRIEIfWq4d+u74iZmmCmmLmZ77m1DrKSpS5FJ4VGSONwClFWTKRQFvz2YBA+NVFImRBGikcPhPzZPzT50rfq9ERo+gnigdvp3pYzl8due8NSj0BR5mjcogC0X9DgW8HidU/cuZyzfEXFT7yao6L056jY+zbo4rINnXLiFBanriCMAyqUNoA3bixF3qImQ1MJNa+6oE2m4D0fHWLHQVEgJo9E9v8ESWIFkkxAJMxALNPH0DjDgbBZkMI00A+ldRwDd2CTUzOnrEipCZXheGEgqFUDRoYzdkxKEo5jw6kv6SVJNmeTzgH4iuUjwNA7GmrZSf/tI4+cv2tHwkkrIypxgBDejPdIE9vx11GYeZQky6lImWN7gPb4dm7RS89Zh1IUllzKhDDM2HEw4p0fafJv19XpSTvWOK/M8S8m8lq0gLAqD35ClX+qnxvAmTda2Qd6j157xvjJ5aXMqSAvPeZ3cvXUE1w6rY0C+qC3cqGvm6OFBbxEWMsqtMwTnoRWCJur4qK3aQYRKb/2wjZhAO/6yBA7DsYFXXGW3J0GpDtITHMhJYz6kQpBpG1gTZr+hm5KXaAFmTaPh1qjAwi1ozQ6/3wz3doYWSkFQwMB61d2OH51j33dld9ZuHD5Ox7d3Z6zbecAXIhhrvn2VdOa5pY9B5ubK1E7MMkumtjOeI8jRSU0U5Gj0Jt/Y7l3EaHMCirSR0uEUBZcFui5Zc8QfpDH0hIZKvYcDnj3R5v827fq9AIP3H6uiTgCNemTBIN5Lbcucd6CA88f0HH8xLfuT9Foz31QlF9Qkg8Rc+hKkaOiPQfT079zyiItFbHXjsYIadoYK4nAPockJSAk47IL2qSZ4I8/MsTew5RB7qe9Cm32AaZfYKoFmYDEWvPAAV0IQm32Q6it1i1NnbNytCUQZUsujXKXZaZ1RDeJOGFpmJ2yQG753i1XTW8+5+U/HuAASQYTE+03rRofPlv11OnDg4KBmqJeNZdKlBFHKVHkW++iH/ecMLsHYnJQO8vtLLkFvLXcDuymWY8iDeGfrhrgS9fU6bnBmCWLPZeaRLIAdp7nXVJQ9ByqMsfx8i4l6+xzcU/z7rfqR8O8PsJjJSpCYZ3dA/3JV/OF8A2gzUjwgpsLGxr3QG7/az5hQYLQQTHoSQCZJkTxqgtbbNke8oFPDZLiQG6dAaELSy5UbmgQEq0FqRA2Lx3DySlqYENtOHqoDJXMpLH4mbLBHle2h+vOkDE5nbLn8Yjh0bG7q1n7TVGlNu82nhfgF7/gZfz7v/9btvlZa/Wu7bczNJAw1MioVTLiKCO21tvNeQ/6enCXQC3dxnPJPsVFCmUfN4B2VlwKy7tFhgwUhIJrv1/l89fW6cqgz6EsW26sSuGoiZur4zuQJfXBs97z68kF384PAHxwzwPifoHgSOg+IsJFbsYdcOkDe7/1nuuIFsEfrZzKYacG+5zcSolKFTq5kRKtNVYSIQOUgjjL+NUXtvjBAyHX3FS36a+lQxKv/sjE5i3I0QItjFVXAlIEXet8ml2siYQgloIo0MRaE0kD7kyb6GamNGkGaaZI0x6ZrrB+wxo9ORFkF7/05fNu5nkBDnD+eeeSJp3P3xM/eOJA9GijEmckqXVFpM5nvEdBauZN2t4kjlaUwGzB7VsKITRIZU5k9mAQvpMpMmSoECF87cYq7/jIEPc/UjEVCr7VLoHbUhNZUJNySL5/9qa9QF7ccKQswbKTWVi3/FqUgf6EnU0/XG+piW+93RFTmqiA8goj5iorwmYYCumSlGzPEyE8K2/4dy7yCTPzMlNmfykJqKB0FgqE5pTjEz701ineHsB/3FjHEuq+I1RacIsC5DmHM49bVNCzG04gjGWXECtBRWqqUpMqiDKIAk03NTSrkwkqoeasZnN23fozPl+v1464eY+6D/Zv/2xtembmgau+dc1xy8Y1m04I6XQr1tlUhGFKlM+5KaiFox7miztg413jdo8HbkdZMgP0QCMj+Op3a/zJR5vc+0jVcA7pA9vJgVFOTdws+YpwmrcuqIrVv6UtUcv1b+eA+vk1Vtv2dXKncfc/V9yW9gASNvPS6uJBfyu3coQ01+DzlIf+iXI21yeYf4SLP6vI7/5VTo0oYhRF+rEuZWcWuT9eWkTgB9hs3n2suXd7xLs+2uRrN9TtfrFmQngX15ai5KD0EbiS5ZBWHJAEQlAJBDWpqQXaJIYKmOkpTl83zdKRLmtPuGhHHA+u/6PfubR9JAwf0YIDdIONTKZTfPv2exgZmGXJSML4kMI1j4+ilChIqMQJYZDmzqMDsrbOg9aFNSvlk2N4m/AdTZHlBvqrN1pwb4tNBekcpcRRFUtNZMG7QwvUvL/3PKpJbr3nq+Dx9klhyUV5f5X4tyhZ86OZkCNRF8ez50qCLsLZR03wKIurpnHKicKE9HOdvIh0Cu1kQoXIqYu16MJo6kobp9Ol2go7Zw0E9FJOWZ3w/jdPoTV8/ca60fscXdGOixtqYsAw36lLkIvgnoVXMkDJkDSK6MqArpIMaE0sNMtGNS8/W7D2uBFWrFtHGA/xR0fB8FEBPput7k7ObPvdC5694YtTh7Y22u0WemiaSpxQrXRo1DoEUY+DhxW9xKTN5tErpanFipFRRSAEOilCyp4GAR59kUIZBzwQ/Mf3q7zrI03u2x6bvG7pU5N+KyER0iZSYeiJFMW4v7zivwRqz2jMy73n0pP+oE7Ow58AqH/c0n3XOXVxhQJeAlbhaIqiuc68TmdBYUxhhEQI1ZdLLvOSMaTFpadcuP1j+sEHVhqUiF7GqasTPvD7UygN3/hezXyxnJMLbKVDeXvYHyASTSg0w6MZtVjhJj0jTJldJwk5eKhGGlaYqVTQBIzFMBgJtj7SZGx0w+ypg9XfXbh0Sfdo2/WoAB9vTKilp6287YRleuq+2+9rLBhuUY27NGotatVZvnMnPLQn4rPfarD/YJTX2KEVKtUsW9jj4vPanLYm4TlndKmG2qQZu9o+7cBhN6gEFQiuvrnK2/+uyf2PeODGB7jvZFreTXnciKMk5UCOLsmCDvx5xNIHvjiCNGifK4eU7bV7Djzrf2QunoO6z+H07/YHexDzRzWNMRRFvkluuZ31pgj+YIdDKWe9PRkxB72x4tjcFYRxPE0iomm+Q09x8qqEv37LFFrBtTdXyYBiWoS9uAQbZaxwLVCce06HU9f0eOl5XZaNZ9YA2tdL2HtQcsW3amzbU+VbPxxhVjUIRcS+KcF9OyS/9uvPmaoNrLpt12OziqOsowJ8dGwBiOjgA1s7l7Wjtdd302uiBSNdpmY7XHlTxAf/ZYQd+xu0RYT2hVGVgUrYfjDh9nvrNIcTTjm+y3NP6/GH/2WWRi0jyAqnyoDbtD74zx/E/NGHmjy4IzZk2rfcOJPrWXHLc+eVBKFoWzEPuJ0Fnq/fYAHYMj3pt97+/XJ+XJ9VPxLI+x3L3EJ7YWtRvLYA+nxyoUdRbPjelw59iiKUREnl6eACN6bYOZ1oEwxSlnEYcJtOWfkh2MvYsDLhw384xe/9teD6H1TI8iQY8h8XKM1ALeOtr5nluad0OWVNQrOpqeiATEUoFaCUGUGugSUjitPXddh5oM0HPtPj67eO8Pj0MMMDCb/2yo3JWHP6ssHm4MGoUj3q9j0qwIWM2b59F4sXbXhspN55OJm6Yd29uw7xV/8yxtduHoOwRlgNaQRmp2ZAqiBRCp2lqKxLS/VoTQTsuyXkB3dV2L475LUXtzh/U9ekGmcW3AKuvaXCW/+myZZHo4JneM5Hf6TSWe+SJCg9ajKHf5cv/cNJS3knvgToSQl+BuHc+0dG9FNgLTlNzcHNPOH7Pl7ug1l7VlxZMy+8A4BcG5e57q1tA08TJJI20KlzSVHlIx6kPYAEpJoTVyb8/Tsm+YO/aXLdLRXTjVgIyDSR0DxvU5fXXtzmFc9vM1RR6F5AksZ0sog0jUiyiDQNDdDt9LcwyFjc7PHRt7Z56S17ufxTs8jqcpYvP/3hVcetf2zfnkdZvHTVUTfhj93uO3fu4fu3f4cFI6Pn3XrX3Td8/IvfYc/kIsKgRjMW1EOjUmg0qRK0M8FMKphNNVmWQtYF1QWVQJZCN2PDCT3+8s1TXHhuj0ZVozK47pYKb/nrQbbsiNChB2bZT0u85j1C2MY9NlNQGNUkFK7qSJcUklwdEcVzvmToKyX5ff+xXE2xOd3uWnrXLilIlnPAg/x1oqSg+P+naJBkHw/Ko8yLohLIW3Hkxd1+VVW5e5jMUyfKKotfIuj3nZGekuIXnpiOBkX33kBmCGHUFyE1RIIHd0S85X80+c+bY7SCelVz4Tk9/vL3pjn5+B5ZB1QWkmURSRaTpDG9JKKXmOskDcgyo5cHUhFHKY1ah0o8w64Dk3TCS6gOnPW8pPf4d1cs38yiJSueugUHWLFiCXsPzrJorL7ngZ3hdydnHz4vQrN0EIbizPRIEUaI76WadiKIhRlwNEVoLAe2p65UUFHcty3iTz7c5Ad3ddh8TpfpKcl7/2GALdsjdFxopYV59Cy4zRKE+QI6NhNC9GcLeo4l81h0fMriZQ32X5xNmI/C+Jcnaq49euLu5txDlC14btH7LLd5v3lxWQt3uSqYWkf7PQuHk0In10USlrD1l0Yzl57ll7ZNhLZnB523Tcsnk6Wa9asS/u5tU7z3HwaYmZJsPrfLrzy/w7rlKaqD6Z2oQlIVkWYhSRrS68V0ehXa3Zh2NyJJjBWXQhNFGe1OzNhQyvrVMfGCk79L7YV7YAYhBn/sJg5+7CuA//HB97P69BccGhttTEuhX7135w5WjgWMDMBgXdCoQC02YrygaJDY05JUYzdARn6SDRSP75VMtwQ79wV86ss1HtkdoiOfjviyoAdu6fUUtMpJ7PK7RTG0Na8bFYX1ltIL1+eWuf+6sN5Fvrat2HFWWxQVPv7zJlfbHNyFo+rlgOf3589cdNOki+fLA676D8o5zjB99/3X2QJqX/EpZ0Figd0nj1oRwLzWKl5eEI88/9wdlILxMc2zT09YMKI5d1OPU9ZacGvQKkCpkCwLSdOYJI3o9Sq0OjHTs1UmZ2ImZ2NmWhGznZB2N6KXhkjRZXDsHCqNE/6frHP/jUHllCdkQ36sBXfrzJNXMTLcvC3r9q4cVBOXHNy3g4F6RGAPkSyFmXYGKNqJJkxMGFaIvMN28WFdwZrVCW//7VnWrsj4i5kGew5J0lLcTOSyUUkStB1ipDCF30USld9UvwBDf2qsG3w1N9+7DI7+qGWJZudyyhE2Vv97nsiyFntOmN9a8fksN14oX1lTXziW1orjOLfjzMrwb+Hyx51uLhEoT40RuWUXQuZOq1FonBVXuIp+LezMeUwTzLu2hvzNZ+qsXZ7x578/zQlLEwNy3G8oxq5kWpCkATOtmAOHY6ZbkjQzvycMNJVIUmmcjYrPvpLqhtuCdPoJb9YnDPBTT1zBzh27Hr3kBef8QffQlmDP8OTLkiTJ8xsEMNPKmGz3aPV03qSztLSCRHH88oT3vnGGX3l+h2pFc/kfKfb/+RA/uLeCDj0U9dMU29dE4PoJUqIm/fneReP9oyRXHcky5tdiDtD91zjVZN4DgaPTlVwOdMqJp6YUOni/Ht7nZFIGfeFkWpDjJ2JZydC2fHAOpJPmXF4KXoJW7nDmxcwSjXJpT/a2ZVUSCOCO+0Le9aFB7n0o4u4tGhnAe984xZrFKTIzR55f4SOFohqndJOM7bthuqXs8SvIlKJaqTEwtuiq8xb+0h8cOrhvx9j4mqcf4AArjlvO9265Zcfakzfe30kOv0zN7CCOIwKpGagpEC3u2tXjsakG9aovQ1ie1tOsWpjw52+a4lUvaFMBVBtOWp3wX1/S5v5tETOJKFvJXBq0IKeIUPoj/kqlZva06nPvotttX9agu+4/tfe9xt2Zm3Pifdejku/yc1of4eX9vNy+Lge+s/BOPRFlKy69anxhZ93n1fDu7bI4mkTpgLDBIMzIFJc2q10lkHutl29eTJoy23C2I/nM12s88EgEVUFHCb54jckV+cvfm2TVAkXaVnkwCYyTu2hsigcfa3HbloVIHdCoGrqoVZfnnj3Cs85ed8+D9924Y/3J5z0ZyD45gAOcdNJGgiDsBHQ6995xMGxWZsLRoYRFo7NMtieZ7dVJ1UCeiy0xDVsqIuGM01q86dJpXvX8FnFmeLoQIHrwmotbbH8s5O8+O0gm8wgQBS2ROcBcP8GQPpD3Wep5c72PwH/nu19yJvEA2Xe/hNPSwfnElm+1/ZyGfr27pH3PuV0UQrjGQEp4lAUXBMI4jFoViVjCHQDubCQt6JWXP144nhpldfpyD8FMav7xy3Wu+FqdLLIWJZR0leYL1w6AFLzx0mnOWGPUGQ1WFpQEUlGrzfDoxCCz0w2WDmmGG4q1q5osXbbq88efsP4D3ZndTxau/QVHP37VqxVq1eCDq1YsX7bj4OBN1WrGkgWH+P79E/z3K2r86OERljRhKFYMRopQQ0P0+M2LJvjK5Qd59S93CNKQJIlygV9ngsGq5qRVCXGpzs9DjaechJQLGObrbVLm3nMBX27ZIOYA3e1u0Qdyl/lGH7hLB4S/158Iur3X6jlPi9LtUhahe7xEWbxwvT+C3YLbjf/IB1i5yW0lXlzM/nGptTk9sde55bbbQkjoacF920OmO04QsJJuGNMLYz5/XZNL3rGQT38zJhMJAkG3F9HqVNh/aJDTVlZ492v2c/ZpB3h0QpGogFNOqN04NLrm9d/45o2T1cENTxrgT9qCV2MBMLtn1x2zv/3aC5PpPR/n2tvafPDzC9FplTWjUAtN4tR0V5KkPV5xwSH+4vUzDNUi0iQg1QJX+KBt7neYZlz4rC5nb+xyww8DqDg0+V4fhcYtfEoyj/WWP4aa9DmW87eKKHNxSiCfC+ISdXnSu6Iw4H2R+zkWvt9qC2xXqdyKi5KVV17qrLGaeK2KbWIW5oeK3KoXIXwXunfVQsZ6FweTQCNCzW13Vrj21ipJ4Bd+m+oegATNgZbiXf8UkahJXn6OYGK6wWwnQqKZmK5xxvFtTl09w/vFAR7aewLHn3xpLwhE6yXnn/sUtuhTALhbi5etQmt169Yd5577uevuqK0eEgzVIQq1DVIIlA644OyUN7wCItlkpu03odFFMEGnACwaS/nVF7S58Z4aKt/DhcMpKVvvotkncxSU4nFPVZHM62T6FLrfes9HS4qHvCf9W08F3fMgPXfect7t3bfbR3n3c4fT8XDbW1Di9G+KD85FAAlSmbOO7Q2IFLaXuMblkbsJbmbmvM0b8Y7CLBF87ls19j8eeZM0QvxUZrcRp3qDvP+KYSamFKsXDKK1zINTjx0YoNkY4rcvarEr2dBedfzqW6V80kTjJwe4EKNs3dV99+jiV+pLzpv+w0P7t1UzFdHu2WmzoWR0SLJxbYNOZ4wJ2SaOEhP1QtmGnRk6kHanaSpRxpnrEsJQ00s9yFh6krc8FkU4vjyRuNC7HTUJRJ9F9oEtixHWTsjst/BQPgj6TXY/6B0+y9vqiWHaB3fptv8YnpUWTt2wlTsUqba5w2kLa/LgTt4I04brFQgkymoq7qymLCeXwq/+kbaLbcHBsYYgzQR3PBjTU0HRXcyOSBdS5gdKKGAg1AwGId+/QzCzWjIyFBKHptii09W0OnDGaes6l1164d9Wqvw3IQZ++gAHWLu8om767jfeu/ms8YTuvnc+vH06fnh3ndmOphoLxoaMk9LqxERRmtMSV+gQBhlapxBgmy0mJu3WP0lbtDlN2295XB7W2pc96PRuLxyeW24/SDMf8Ck/5+G5BNp+3Io51/O/uaSGzAdsyq/NlRLhBTnnoSoYJdsA0+upYlO68+ZU2p0arIU3J1RpVRWVp9XiEq2sBi6VREtV0BSnvds/UR6oC0FWIIgIZWACcXZbRkIzEGqasSIUmkNT5j2VWNJqKx7e06E6MNo7rrXwg1/7xu3vu+zSlxw1W/AZBTjApvUP9eLh+uV7Hx7oPba39Rez7URqbY7IWkVRrWR5YbIAkjTMPfMoSPPEGhlkZCrguCWKF53d5as3VI0MY09tEuYMac1bD/hWfJ7OVHNpiZirpBRMaK717osolpDcb7qfcJx+/uVr4fm4Gt+S4z1O0T8cVURCc/zae9L2TFH2VJUXFJc6vFpr7A4DG2AraIrtNe4cUVs1jwYZaa7+XszOPa5tXgRBRCUIGAg1tcCoaaktN+tkprC924NOV5EkilpFUq1kVKqRagyP/cWedvyhbQ8c6P2k+PyJAV4Z/30euPuq9tDgiiujoT1/fue221gyohgejKlVFAO1HmNDs1QqM6SZpNNr0mpXCKSiEgd5Uk2QZSgVMDqcctqalK9eD8bm+L0Fy86knzlYJC/NBXcJ6D4t6bfcPph9a94HZgeFOasf8E8U1D6vzg+Sgujovot7Ty7ACOfw2QCKBaK0dejKTjYTGKvtplfjNrFr4uOfe4TLEDXGSDpVRZn5m4WzKRGB4K5tIYcOu46lIYGUxlJHmnpk9tVUVzOVpLRSyLKIeqwYSswpaeFoyoKhFhtOe67W8XFXotrt11526U8Kz58c4ABjC1awYPHCrdVHa2/acEr3H7ZvuUeGUtFsJIwOzbB19zRfublKJahy0aYqSVpnoN5Da4GUiigMCVViUjFdVCNPuJI5d8v7m5RqKf0Ipi5nAJaoiZgX1L6jKUU5kDMXq32wdnL9fBvlqQD9aG8rWW9zALjs83wim6Uo0lblOwsuTIgTKQRKFtRE5417+r66K19DIYQgE9KmFksyofKBsyYZS5SPNAKECKhIQT1QNCLNYEUzUINhpXndOZNU4lmuvKnJvn1DNOuaJFWMNhOec+7JSldXvOnGLc/ZumrBQ08HNJ8egI8vOZ1v3nhn70XP2/yJH9zxSD1evfDDQ4P7WTY+zXfvnuXDXxyjmzQ5ZZlkOKqwaimWgyuiKCVTMq/bfGyP5NrbK5aeGHQGAmJZJFCFfdSklGbaB27favfTkiOBu5QhUDj/c9dRePjTso6EeF8D73s5GOvshAeFsAF1I+lJChqU1yTkVtz3oyWZty3ycYRS2r7jMtfPs57kBZsSPnN1xtbdJigXSaiGmmqkaVQ1o4MBKxdHnHbcGOtXaV5yzkE++IWM2+8aY6TRo6cXM9sdftu69ed/4r8cd3MmgqcmC/avpwXgAC/efDqP7d6Xvf61l2zbt+uO6e7jXxr8zj0T/O2Xh+h1mxw/BsMNSTeRtDrQ6YU0UgNu5VI0gf2HJXdsjfNWyEJI21vQNIUpgdvLoc5ve8Du5+BHjmLOBbdPT3w+jgf+pxXM86w5MqH9o/v+t1XC88Jk8EZja1usIKw8q4TJ3Vbeh2jQAd6AKZVzfLNtZA5wkZnxJ1IqAluFk6YBZ5zYY3wkY+tuo604ESAKoBpBrSKIo4BDU1X2HBxh5WJ4569O8EGVsmPvKhat3Dx9wkmbtk0c2p+NjD094IanEeAAA40azeaBqxYuOO3NN912+G+//P3vjMqsx+oxzegg1KuSIA8wkHv3wnpSQhrnRgYSlHFYAiGIpbbgxrPiZUCHHqh9gM9xKOkHujd3Zz5z7Dl08MyDuv/fQxGhFMLj5V6OivAsem6Cbd2kEMaCuycV2uZ+ew6tu5ZmcrXOxzlgrXg+BgspzMS2QEkyJclUYPqLa4GwadFGrrTpWJ5TnylNqy04NFlBMMLIYMCbXxnyuHjuoVVrzn7r9XdPX3XOuvrTug2fVoAPDTUB2Lpj+jPLjrsofMNlAx/45jXXjx84MEG9ElCNJVEobP9CbyCsNE2EUpVx87010iyGMAIrMVWkN43YWXLHwYNiMkPZcotSFLMf3E6/7VdHClZSlsB+QnHkx64n8/EG3AX3dukD+X3vE10vQ6FdiZ7tbmUbWmrLVVwRg1smDGGBnhm+I4RGKnPJMmPFlQpIs5BKLDn35C533J/SVhmpDsi0a79m56ymmnYvYLYTEIch7WQla08+78CzTnrOH0PnM+tXLn7at+tTDxEdZa09bpDlo+mnfv2Vm991+ukbDjTqxvpEoaASQyUyDTzjyMyUD4OUKErYslvwyf8YJFMmQBAJSVXqwoIHBchdoxxn0csXUZpenDuh0vTFc72mfcvuICFynvLTtdb6J3yPtlFK/+yoXP64Mlp4poS9FLeVEqTe7SwzF5UJ0kyQZUH+WKYkWRaQZmasu7kdkqYmYvm6l7RYu6yNSBJ6CjqZIMkEvdRUe3UTM0xYZTDTFixetu7A0MLz33XgoPyUEGPPyHZ9RgAOEMQD/MsXrv3E2HD9Hc85c9GhJNVUYkmjqmnUMuqVlGqc2B4rXUTY5cv/WWPbrjrEMVKGVAOoBnaefIAH8rngDgMD7NCC29GWQIq8s9Sc+The1Y67nVt25gZ5ngjgnwpQf5LPmrcJkMsVUTa5SnnJVaoAcJZZcGcG4Kl7zIFbFSBPM0maFsDOVECa2YuK6HZjTlgKv/L8KWLVJkkSplPJbE/Q6kGro2m3M7o9jRQpM2rJIRk137Hv0Ws/sXD8qUcqfywOn7FPBq788hW85Y0vvmuo2diJqF5YD6crixdkjA11GRrsMFDvMFBv06jO8rnrAv7+S6Mc7g4gohqV0OiotVBTCTRxYAdgeSDPJ7/l4Db5PbkVD0QZzH4uivQSikTRu68/yOOu50Y+xZzb5J9D+fNE/+0+x7dQROfmpPcdiHMCU973LHueNp3VZvxpm/3n8lXAPQ+Urs2Ha4+s+R8uvP9TOOXWsZSa1ct7HJ5R3LW1QoIJ05uZbObMK1CsWrlyutJY9Oa9h9P/9cILX/V02oQ562nl4POtqdmmUlQ/f+pJjTTW4tOD4X3VkWaPWrXLQK1Noz7Np6+WXP7pER493IRqjSgIaASuJ51tuB+Yms/QWvOCpoi+EP083NuzzG7HzGWrfavvQT+r1Q+Xu+cEFP1unuLywQP99OnIOMgdTqeV930NV9njPlTgRBQ3etBsK63NwWRG/Cl04M4Orvi4vG3MqEWNTCKk0LS7VZaOaf709VMEoeAT35AcpkGqAqYTzWQ7ZfXqFR2iJb+1dOHIl6em2z9RGP6JrGfUggN87nNf4I//4JX63FNXP/Dgron7Ds7MvHzJyEPh0gUdomiWK74lef+nR9k+MYyo1YnDgIEAGiFUQjNGIw4wzfft+MLCcgtrvU278ECa+8UYwL7Rff0BHo6gntid6FtyZ32L+371/TzFx+JJWPC+7+QyIOez2vNZcPed/JVTFso1kMW1yy93eSVF7nmeSJVnH4qiase+p/Tbi0McpSQjA5pN61tMTGf8cGtAuwu16jS/ecl45+S1i167a++6f5+a3Ze99tdf9UzD75kHOMDHP/FFRtacoa/5zqoHxlfw4GxPXtyMt0f3PCp43yfHeWDfGGG9TiMMaARYWmIGp8UBVCID8ii/CMJQEHj0RFpwB979omeJac0rRTHpzLfocxzKvvslXdwDFznI7c7vAzRPAOAFZWJe4OdAx6u696rv/e+Yg9tZco+PO6fTFTyUEqZK980G0HZDlJp/eucRty2kKE5nWktTLZ+FjDbh+BVt7t+W0Um6vPHVazn/7JWvu/gle74wNnBYXXTRb/00oPfMUxS33vbGN/H3//opPbrr7i/uX3B6eGcq/+Gbt+4cun//KJVajdEq1AOVnwYjqU0jdDt4Nh8jHvhtiws50G/54B43QBB9O9/v3uo4hs5TQOaUjvmg6XM6wVlIc6qf08fEflD/Zx5VchTzv24uz56fspTB7cBc1FyW/5XOzzwu9dhlJkr7fmkb6RcXW20PCBHkedwCSFWA1oIoiUBLjhue4ZXPC9g9ue7ga1/5a4cXLD55++NTXX3SqUdvt/Z0rp8awAF+77Wv42P/8x/5ry8fvOLA42dEu2fP+NDGR+8e27lrhsWNkGoEB2Yk7aTg2VGgqUQQh8KkGefRS+FZuXnmV8qyxXTcuSjdKopz84EKfUARonzbVc+Qv9zet+/XxU2eNB3XnibvvdcAqW8WJke23v73z3+vEmb2jSoOAPM+uw292fBSFp2QXchfCkEmNYEyuf5Kue+rCQNBHEEUKjq9iENTNSpRRpL2UHIFmzY+9/H2lpG3rVl9zr/M9KaFCio/Tcj9VKXe0mrPTBEE0evvuueqy//6H28Z7850GR8N2DmdcOsWzUgcMd7IGKhCLRbGgofWWuNx4lzjLiiJcPcdL7Y/1XVjUsoFILTtX24ec6Hw+baQz3X9g6vQ1MsN7/32bkKI0vc7UtMhNz48EH5ejdf9VhaKhfsu/csBWHnatwm02IZMWuROsqM70k9S8/Pqpfe/3feQBsyVSFGrZAzUe4w0W9RrU/zg/ib7Do4z2swYHQU9eP6BZ5918TvTNPnk+IJnTgo82vqpWnB/1QaaqHT6k2dueon4jctG/ur73/vu+JKRKS5bPcnHr1bccudCKqGgFrs8BkEY+Hl0Zgk86x3YU20gS6BzzqG2Dd2zzMT3lJk1XXDM+c76njLhzLNS2rQ0sM+YxjfaWnHxFMx3OdiU56XDvOA+GsVxNEsIq+pYS2z0bdPJwKkqQhQWWtnYQuCoidQE9nyVFp+OAJJAkKXmS8RRQBzCDXcp/umrFVaPpWw6eYyTNm4+sOrE57wLnR0zcMMxBDiADAdJeu1PPP/8c9LhwcqHp/Z9e2Sw/hhZWmGwomlUoFETNKoBcVTkMWeZscT5jhRFw8vAGxdidHCZZ81pDanSCDLT/dQGsh1P7ZfB3HvyhzzguhxrSfHe/iSofIl5PlPMfU0poopHTTxLnr/Gq9uc79+5ImTzXU2BQS8xltxtNz93RwWWtweawE9QER7Nych7BsaRoT1hENFqR0gRMNXVxPUxznrWLx0+bs2mtwv0p4eGnt7ckie7jinAAaK4RtJLP3P6xjMO7dr28Jo9hwc/+MBDD0RLmynNRsDwQEijHhJHxrL0EkW3l5Gktjo830mCIJBWKjS3w5A8sumAkWSCDppeqlB2apf2Dhag31PM+42A07vtweacS3ThsM6znpAx9/5Bf5CnKJzWpQ/1R8P4j7u6S7A+RiLpJdDuatLUSM+GxkmrRPlteMzvsT8r76XSSwSdHnQTc6aKI0mSmsBWGFQ5cWmN1//KGcnM9NA7Tjn19G2NRuXrYRgfa3gde4ADRHGoWtO3XnXixmfFMz880HrDZeMf+9GdPxLVOJXjIxHNAZPDkmZweCqglyjrJOpc+pPWaoeBIAwlYSCIQogjp76Yyp9UgRSSqVno9BSpnf5cqrq338spJCUKY6UxrYQdmOd6Z3uW3L7f758y7/JUl8KpdJa66LUYSEo9FfNGQI4eUVCbvD2dHSUSBIJOT9DqaKZnUzta0MUQNGEkSxq42RamMELoQppUGmbbionplCzTxJGk1TFDCeJ4SC1cfq4+/+xVv7e/s+Kf79n6cO+5Z51xrGEF/IwAHKA++Czuv++B3vjoys+cvkFeXwm6ryI99N9DvYcFw5qhRkKm4cHtMbv2KZK0cIZcOqZ0kU0bEIojbHKXNglesSYOFTODGbc9qMkSEzzK5UdPwnCURGk/ccmoJspKak5LFx7gHE9160j47lda5vi2FqTScmNnxaHIOclUIQNCoaEHNvprBvQqBuspt98f0GpDFAqiCOJQUomcpZclfT6TECiBtJ8TSKOWPPxYjy07U5SCgRo0azA6uoKB0UV/Whs84YvNkRU7h5J2b9Xqnw1ww88QwAFO2rAeoP2Vr3xly9Z951z+Gy/6UUwavHvi0ANBLz3EzQ9Ivn37OBUk1QgGaoIoFMXp1gV8pLHelQhqFU09VtSqGQO1lJFmh0RPsmV/k8GgwkjddAAQQhNIkTutQpC3VSh4v7WsEsxRoPPx2WYVuWtFhLRwcv2V83APoPZTC+udF3YUTe6F5dbGYRS2e5X5/kI76qGJQjO4d3iwQ6VyiHv2LSDoxYw2FI2qoFbRpkOVOyjsWTBTRjbMbB+NOFI0GynVOGPN8gmu+1GbG+4aJFANVoyvycKBhe+76GWnXX7t1Q9nF5769BUqPF3rZwrgbr3iFa/goXu+kJ1wymv+TKv94eeuvOZtX/jGPZXHDnbI2imynjE5ZSpEBqUgDiVhKEp9vMMA4khTjRX1WspgI2Wo0WV8dIp9ExPM9AZQQlKLFGGgiUMrOdqzgLQAzzJNqkyfFqeeBBJ0YHuRCI32ukaVcswp33YOm1vlLEAP9DnoXKakJgw1oZ3qoDTQC+glkiQTVq82R0toQR4Gmmqc0aj1iOMOGS32TlURqNxBB2edNSpw05EhsbJJJYJKrBgfnWGmralEERduElx07iBB8+zuyPhL/2bD2pE/E/LLvOUNv3KsYTPv+pkEOMAJp7warSe47e7w3ZvPfbncuG7DuZ/9ytdld6Z77spFO8Irrq+SqpB6NWCgEaI1dHvKJBEJUQZ4NWOg1qM50KE5MMNHrgyZmI6oNsvBD9eRy0iStt1Yatr5dhMDrlCavHZwmrEogRZc9NTlnfvDq5xcaV6Xj+47khW3ljsKTf58FCrCUCGEyc2ZbgXMts1nRnZPRqHOv5ubWzoyqPn1Cw7xl/88xKEoIBDKAlsRh4LYyqZOe3ftHECwZEwz0ery6W/GXHjmkjSM9U1nnP1qdeopK28SInn39sdmWbWscazhcsT1MwtwACGG3c13XXP1Nzh343MHRwcf///SbvDq6+44JOtCsGRBwPJFKfc8opmY0QzWA2oVUxoXhxbglZRGrUez0aKbtrhnxzCaKOfcLngTSEN5qnFAtRJQqwhGhjT7ZnvsOBgwVBE0Yk3NqidBYHTl0EmJLuxtAzp5uq4l9W4SGlhJzsl8wkQOtR2a6yIx0lriKNTEUUatklKrJDRqXbbsinhk9whJGlGrSGoV8/+jUOS5JuTpsiGnrmgxEM/weHuYWiiIbRJbJTIlaEIYi91sKPYf7nH/I7BsPGRkABZWBhldsFyFzfVf2rCy+YZ9e/ZMbzzt9GMNjye0fqYB7q8LX3QRWfvBaVld8/vbti5/6MxT7jpl8VDrkqHofppDU9z9vSGS6ZgTlhiLFgSaOFJU44xaNaVe7TJQn+WqmwU/3NIkjiWxVOWOtIGhO9U4oNmQjDY1J6zosPb4A3zgc4PsebzJkqbK8zayQJhiXbsEReqAS+MNrAV383K077AKcq3aVRz5uru047vDUFGJM2rVhIUjs+ybnOHT1w1zcF/K2iWa4UHT/y+0Zx+/c2yaBbQ7MaevneV5mw5z5fcaTMQR1VBTiTTV1AS+AKqx5rjFHUZGHue6H0Ucnqlw/Or1LF5Uu/J1l51xjw5X/J3S7ekLNz/xBvTHev3cABwgqK0DOLh/72Pv+Z3Xnbwya93L7scql1x1/Q95YHubhVWJ1lFOTyqxolpJqVV6NBtttGjz2f8cYabbYEHD5LkEXruJIDDpAJVYUK9qmo2UZiNj3coudz/S4+NfrzHZjaiEGXFYANU5knnmok3jdYlhYF9rgyxZpjwN3zTPceqFUmVFJRCOSiga1R5hMMs3b9N850cNjmvC9GxGHEniWFCNpAnGKPLKnTQN6PQixmpVXvP8Gb560wwT7WEGY0HNlpAlqSbNzHZo1DosWvA4Lz9/CSp6FqtOPPnKU89c/9bHD888unLl0mMNgSe9fq4A7tbCxcvQeu+jjJ349smu/NyOfXt7r7u4++cPbFGn1iopA3VDTWqVjHrVnNKlbPHJb1a45f4xapWQRqTyhK5inJ8JEJnaUUUlVmQZ1CoBZ580yxXXd5htxSRVkSdrueUHnIwGL/LcdSi4fldpeomytMDSIm20eRdRVFbbdkEbKTRhmNGoJUy3E26/v0HSiQmHoZuaz0sSXYTibXKVCc9Lur2ImXads9el/NaLD/Kpb1U53KlRD7VJhUgUs7MZhyczpjtNWvGFvOKi029opYN/Vx9cd9fOA8mjJ61Zfqx3+1NaP5cABxBiMcBDwENb7/4wWgfb9p5z1heTmfvX7Hz0RwFaMjY0S7PRo9nocu+OjH/+2mKyrM6ChimFcwDP1Q4H0rAIDpnHJZUAAp2SKk2a0w3PeguTcx7aAySODL+NQktnLG2YTBWtdkZmFZkoFEXoXEoi1Zf1JwrpLwhSEClJaiYCK0ygKs0UWeYSxywHt4XESSrpJhEzLRge0PzWxVP84KFJ7nmoxuFAkumM4QbMprBg+cZs7SnrHrpj2/TvLF75y3syxZaxwWOWj/e0rJ9bgPtr7al/yOFDh+8a19mF7Vm57IR1m770yIM3NLv6R43J2R5RJPj0tU32TDRZNWLK4JQuqu2h6NGSV+J7bS20Nqd7tCJzEpvVBEXO38mtfxwZPlurmDNJHGmrgmi27NQcmjS341BQiWUO8EAK0lDkNKPcYNcFexQicDNyBEprG/ApzijSRj7N95ZkmWR6pkq7E7NwNOM1F7R4/+4ejZpifGGVE9evmX3ZRb80Nd3uXbZwyerHXro8eHS48fMNbLd+IQAOMDI6glLZo8Ojz95JNn3y3sPinKnZzf8z6z6Yysr3Rqc7rcHxRsDaxbBsseK6uyTDoQlldxNjrTM3p0Z47eDcPEhv+fq2nxZr0gSM5a5WNI2aolFNadRSxoc7VOsttn+3wcEDNRYOKeoVyJSyDqWx5qkdZW3SekVZI8//uwFz5lfN2+eDwERtK5EizSRJKqmLLtffOcDy8ZgoVIwOtFi/amT6ty7ZeOiCzavC2a787cGhNTePj9UnATVfYOrndT1jbSOOyY+RAUIIddO9rcPEy69Gjp74r5/99prR4970vrNPueDes05adOfGdaOdZ59aIVM9Fo8KViyGqZ5ismWa06C9MdjSFNUWQ09FqXNtkUNtVZM8/0VTrygatZShgR4LRlqsWHyYseGDTM20eOSgYN+UZKqlaXU0nZ5pIZykmizVeZQyb/dg50kqJfPe3m5ig6u0MaqMoURDgwn12gwP787YuS9C6w4PPlZl38Rop52tvnPTaS+698Pv+b/ed+v131izYMHQiccfv/jq8bEDh4UQv1Dghl8gC+6v52xcDIYmtw7s34oMwg8GMvjgpS86NVi6cOBjmsMnbj5z1+YNCx8PxscOsmV/yv79AYuGTTTU8e/QznGXMjOnfBGYNACpvFZxNlU3cAleOg8wudSA4cFJHjkwzda9PdYtnaCdheybHAQtCYSyB4WikiqSTJq+JbY4wfUmSTNr3VWQF25k2iSPZQoyq9AEMqNZm2Wi0+LmB6qsWzHMptMXZS+64MQbRwaGt3TEzJtGgslssFHlLX/8Hh1W17SO9f56JtcvJMD9Nb5wLRTKW7p738QbwigeeefSw+/fs+3auNedzs7duGjT7n3xmUEyQSXsGUUjUIRhagFu80CkJAqgEtrq/tBxcJE3H4psB4BKbKKnjdoM37+vw+VXjNEckLz3NyYZGtzD+6/o8YN7x6h1JLWKJknNGSTLdM7BtYI0lfSSgF4S5g13tK1CSjJhu0VlzMwqoiDj+OU1ZG0F7Vbv9qCi7hgaWx2sXP/83mnnjv6JSruHg2j0WO+Sn+r6hQd4/1q6aBjgMPBGgEe2fIs3nySed8eW9MLObPeysYHOOpV1SGbvY2iwAyiSpEe7l5AkpstWowIDdWlz0rVNDTD8W9rK/jhSNGo9ZrptPvSlJvsPLmDNeMDBx0dYt/Rx3nbZBK/f3mC6W2MkNdHEzFYbpVaCDGwOynQrJA4VWRYQCI3I2qS9LiqrkFClUos4+6wTaTbrrD6u8WB1MPhSNl275tIX6xte+dILeOubj/VWP3br/ziA96/VJ74A4IapyYkbgO8KkjVTU4fVQ/c8qkbGx1aH8eJ3tnr3MJkIjlvW4sDuFqEMWDEesOPgLBMzDUYHNbWKlQMzc7oIA00lTkiShMnZQU47TrJyQcCufRXubQiWLuoi6DCb1kmVy2IUJGlGqw0DNUmz0WO6N8lDDzfZsDrj0GCHuD7MJS9eiRwY5awNx/PI7scvp33wkV/+pc1ydHREVivRNuDqjZtGjvWm/ZlY/8cD3K3m0DDA1e7+9OQBhKwOZ92dNx3cl9FWQfKe36394f6DlRfWg5DVSzO2bv0mn/9mhdGRKisWQ6Pe5tHdgm4nIxBdtO4hRY9apFg0lDI+krJjr2CgKqlWAtJWl24vYbalYDikWos5MAUDmWRMxdRqCd97eAHPPvOXWbcyoFab5cBkeu15z5788OHOULT5rNM4ee2SG2bb3Yklixce6034M7n+f4AfYQ0OjQNMAF8F0PohgAe2PxYt0mmoFjQ7hNl3iWNBvRYxOKAZakwn8foXvHewOv3SJWNTSSVOCZjgvGct4pRlMSuWpDy4AxYsjBldtJTnbxZkSYNaqFm9tBodv2Loax///PfeWx2rR1qESBlwcHaUdetPZvnCiEynclIF+2YUj7z9d1cc6030c7F+sTShY7xuvfUWQCwK9a6h0cEpLYVAiSn+9dpR1i8OWbQwZetOWDIas2b5FP/r2xKZVkFrjltcExtPWjaplN531tnPPtY/5Rdm/W/y6kn+D/QdYQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOTo0Mzo1MCswMDowMEp0COIAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6NDM6NTArMDA6MDA7KbBeAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 268320000
{'hecke_orbit_code': 144115188142966257, 'n': 1, 'trace_an': 9}
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id: 268320001
{'hecke_orbit_code': 144115188142966257, 'n': 2, 'trace_an': -5}
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id: 268320002
{'hecke_orbit_code': 144115188142966257, 'n': 3, 'trace_an': 0}
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id: 268320003
{'hecke_orbit_code': 144115188142966257, 'n': 4, 'trace_an': 37}
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id: 268320004
{'hecke_orbit_code': 144115188142966257, 'n': 5, 'trace_an': -30}
-
id: 268320005
{'hecke_orbit_code': 144115188142966257, 'n': 6, 'trace_an': 0}
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id: 268320006
{'hecke_orbit_code': 144115188142966257, 'n': 7, 'trace_an': 38}
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id: 268320007
{'hecke_orbit_code': 144115188142966257, 'n': 8, 'trace_an': -60}
-
id: 268320008
{'hecke_orbit_code': 144115188142966257, 'n': 9, 'trace_an': 0}
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id: 268320009
{'hecke_orbit_code': 144115188142966257, 'n': 10, 'trace_an': -147}
-
id: 268320010
{'hecke_orbit_code': 144115188142966257, 'n': 11, 'trace_an': -181}
-
id: 268320011
{'hecke_orbit_code': 144115188142966257, 'n': 12, 'trace_an': 0}
-
id: 268320012
{'hecke_orbit_code': 144115188142966257, 'n': 13, 'trace_an': 0}
-
id: 268320013
{'hecke_orbit_code': 144115188142966257, 'n': 14, 'trace_an': 147}
-
id: 268320014
{'hecke_orbit_code': 144115188142966257, 'n': 15, 'trace_an': 0}
-
id: 268320015
{'hecke_orbit_code': 144115188142966257, 'n': 16, 'trace_an': 269}
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id: 268320016
{'hecke_orbit_code': 144115188142966257, 'n': 17, 'trace_an': 55}
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id: 268320017
{'hecke_orbit_code': 144115188142966257, 'n': 18, 'trace_an': 0}
-
id: 268320018
{'hecke_orbit_code': 144115188142966257, 'n': 19, 'trace_an': 161}
-
id: 268320019
{'hecke_orbit_code': 144115188142966257, 'n': 20, 'trace_an': -370}
-
id: 268320020
{'hecke_orbit_code': 144115188142966257, 'n': 21, 'trace_an': 0}
-
id: 268320021
{'hecke_orbit_code': 144115188142966257, 'n': 22, 'trace_an': 340}
-
id: 268320022
{'hecke_orbit_code': 144115188142966257, 'n': 23, 'trace_an': 204}
-
id: 268320023
{'hecke_orbit_code': 144115188142966257, 'n': 24, 'trace_an': 0}
-
id: 268320024
{'hecke_orbit_code': 144115188142966257, 'n': 25, 'trace_an': 307}
-
id: 268320025
{'hecke_orbit_code': 144115188142966257, 'n': 26, 'trace_an': 0}
-
id: 268320026
{'hecke_orbit_code': 144115188142966257, 'n': 27, 'trace_an': 0}
-
id: 268320027
{'hecke_orbit_code': 144115188142966257, 'n': 28, 'trace_an': 344}
-
id: 268320028
{'hecke_orbit_code': 144115188142966257, 'n': 29, 'trace_an': -280}
-
id: 268320029
{'hecke_orbit_code': 144115188142966257, 'n': 30, 'trace_an': 0}
-
id: 268320030
{'hecke_orbit_code': 144115188142966257, 'n': 31, 'trace_an': 706}
-
id: 268320031
{'hecke_orbit_code': 144115188142966257, 'n': 32, 'trace_an': -680}
-
id: 268320032
{'hecke_orbit_code': 144115188142966257, 'n': 33, 'trace_an': 0}
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id: 268320033
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